The issue of whether there is a closed orbit in the water waves in an infinite boundary condition is an outstanding open problem. In this work, we first discuss the various developments on the structure of water waves in the context of finite bottom conditions. We then focus on the behavior of water for the kinematic boundary for the infinite depth. We present some findings to address this issue by creating a water wave profile for the zero and constant vorticity conditions through the application of the Crandall–Rabinowitz theorem.
{"title":"On the Construction of Traveling Water Waves with Constant Vorticity and Infinite Boundary","authors":"Pawan Shrestha, KC DurgaJang, Ramjee Sharma","doi":"10.1155/2023/6317674","DOIUrl":"https://doi.org/10.1155/2023/6317674","url":null,"abstract":"The issue of whether there is a closed orbit in the water waves in an infinite boundary condition is an outstanding open problem. In this work, we first discuss the various developments on the structure of water waves in the context of finite bottom conditions. We then focus on the behavior of water for the kinematic boundary for the infinite depth. We present some findings to address this issue by creating a water wave profile for the zero and constant vorticity conditions through the application of the Crandall–Rabinowitz theorem.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132257478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Luis Mejías Alvarez, J. Vielma, Á. Guale, E. Pineda
Given an matrix , considered as a linear map , then induces a topological space structure on which differs quite a lot from the usual one (induced by the Euclidean metric). This new topological structure on has very interesting properties with a nice special geometric flavor, and it is a particular case of the so called “primal space,” In particular, some algebraic information can be shown in a topological fashion and the other way around. If is a non-empty set and
给定矩阵A，将其视为线性映射A:1 × 1，然后A在一个与通常的拓扑空间结构(由欧几里得度规导出)有很大不同的拓扑空间结构上。这个新的拓扑结构在n上有非常有趣的性质具有很好的特殊几何风格，它是所谓的“原始空间”的一个特殊情况，特别是，一些代数信息可以用拓扑的方式来表示，也可以用拓扑的方式来表示。如果X是一个非空集合，且f:X是一张地图，存在由f在X上诱导出的拓扑τ f，定义为τ f = U∧X:f−1uU .对X，τ f称为由f诱导的原始空间。本文研究了矩阵在向量空间上诱导出的原空间结构的一些特征;特别地，我们描述了这种情况下各自空间的几何性质。
{"title":"Primal Topologies on Finite-Dimensional Vector Spaces Induced by Matrices","authors":"Luis Mejías Alvarez, J. Vielma, Á. Guale, E. Pineda","doi":"10.1155/2023/9393234","DOIUrl":"https://doi.org/10.1155/2023/9393234","url":null,"abstract":"<jats:p>Given an matrix <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\u0000 <mi>A</mi>\u0000 </math>\u0000 </jats:inline-formula>, considered as a linear map <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\u0000 <mi>A</mi>\u0000 <mo>:</mo>\u0000 <msup>\u0000 <mrow>\u0000 <mi>ℝ</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 </msup>\u0000 <mo>⟶</mo>\u0000 <msup>\u0000 <mrow>\u0000 <mi>ℝ</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 </msup>\u0000 </math>\u0000 </jats:inline-formula>, then <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <mi>A</mi>\u0000 </math>\u0000 </jats:inline-formula> induces a topological space structure on <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\u0000 <msup>\u0000 <mrow>\u0000 <mi>ℝ</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 </msup>\u0000 </math>\u0000 </jats:inline-formula> which differs quite a lot from the usual one (induced by the Euclidean metric). This new topological structure on <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\u0000 <msup>\u0000 <mrow>\u0000 <mi>ℝ</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 </msup>\u0000 </math>\u0000 </jats:inline-formula> has very interesting properties with a nice special geometric flavor, and it is a particular case of the so called “primal space,” In particular, some algebraic information can be shown in a topological fashion and the other way around. If <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\">\u0000 <mi>X</mi>\u0000 </math>\u0000 </jats:inline-formula> is a non-empty set and <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M7\">\u0000 <mi>f</mi>\u0000 ","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"271 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117130545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Oleg M. Kolesnikov, Alexander Markov, D. Smagulov, Sergejs Solovjovs
Motivated by the considerable amount of losses in (finance) industry caused every year by the fast growing number of malicious cyber events and the need of an insurance against such cyber losses, we propose a general framework of cyber bond, whose main purpose is to insure (compensate) losses of a cyber attack. Based on a database of publicly available cyber events, we determine cyber loss distribution parameters and use them to numerically simulate cyber bond price, yield, and other characteristics. We also study two approaches to cyber bond coupon calculation.
{"title":"Cyber Loss Distribution Fitting: A General Framework towards Cyber Bonds and Their Pricing Models","authors":"Oleg M. Kolesnikov, Alexander Markov, D. Smagulov, Sergejs Solovjovs","doi":"10.1155/2022/7689828","DOIUrl":"https://doi.org/10.1155/2022/7689828","url":null,"abstract":"Motivated by the considerable amount of losses in (finance) industry caused every year by the fast growing number of malicious cyber events and the need of an insurance against such cyber losses, we propose a general framework of cyber bond, whose main purpose is to insure (compensate) losses of a cyber attack. Based on a database of publicly available cyber events, we determine cyber loss distribution parameters and use them to numerically simulate cyber bond price, yield, and other characteristics. We also study two approaches to cyber bond coupon calculation.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124616516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. Batiha, F. Ghanim, O. Alayed, R. Hatamleh, A. S. Heilat, Hamzeh H. Zureigat, O. Bazighifan
In this article, we apply the Daftardar-Gejji and Jafari method (DJM) to solve the multispecies Lotka–Volterra equation. A comparison between the DJM, differential transformation method (DTM), the variational iteration method (VIM), and Adomian decomposition method (ADM) shows that the DJM is a reliable and powerful method for solving nonlinear equations. The efficiency and applicability of this method are confirmed by considering some examples. The proposed procedure provides better results in comparison to some existing methods.
{"title":"Solving Multispecies Lotka-Volterra Equations by the Daftardar-Gejji and Jafari Method","authors":"B. Batiha, F. Ghanim, O. Alayed, R. Hatamleh, A. S. Heilat, Hamzeh H. Zureigat, O. Bazighifan","doi":"10.1155/2022/1839796","DOIUrl":"https://doi.org/10.1155/2022/1839796","url":null,"abstract":"In this article, we apply the Daftardar-Gejji and Jafari method (DJM) to solve the multispecies Lotka–Volterra equation. A comparison between the DJM, differential transformation method (DTM), the variational iteration method (VIM), and Adomian decomposition method (ADM) shows that the DJM is a reliable and powerful method for solving nonlinear equations. The efficiency and applicability of this method are confirmed by considering some examples. The proposed procedure provides better results in comparison to some existing methods.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124819958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The permanent is important invariants of a graph with some applications in physics. If is a graph with adjacency matrix , then the permanent of is defined as
作为我们工作的结果，证明了G k和H k分别表示六边形和扶手椅链,分别然后烫发a1= 4，烫发A G k= k + 1 2， k≥2;烫发hk= 4 k <m
{"title":"Permanents of Hexagonal and Armchair Chains","authors":"O. Nekooei, H. Barzegar, A. Ashrafi","doi":"10.1155/2022/7786922","DOIUrl":"https://doi.org/10.1155/2022/7786922","url":null,"abstract":"<jats:p>The permanent is important invariants of a graph with some applications in physics. If <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\u0000 <mi>G</mi>\u0000 </math>\u0000 </jats:inline-formula> is a graph with adjacency matrix <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\u0000 <mi>A</mi>\u0000 <mo>=</mo>\u0000 <mfenced open=\"[\" close=\"]\" separators=\"|\">\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>a</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>i</mi>\u0000 <mi>j</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 </mfenced>\u0000 </math>\u0000 </jats:inline-formula>, then the permanent of <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <mi>A</mi>\u0000 </math>\u0000 </jats:inline-formula> is defined as <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\u0000 <mtext>perm</mtext>\u0000 <mfenced open=\"(\" close=\")\" separators=\"|\">\u0000 <mrow>\u0000 <mi>A</mi>\u0000 </mrow>\u0000 </mfenced>\u0000 <mo>=</mo>\u0000 <mstyle displaystyle=\"true\">\u0000 <msub>\u0000 <mrow>\u0000 <mo stretchy=\"false\">∑</mo>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>σ</mi>\u0000 <mo>∈</mo>\u0000 <msub>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 </msub>\u0000 <mrow>\u0000 <mstyle displaystyle=\"true\">\u0000 <msubsup>\u0000 <mo stretchy=\"false\">∏</mo>\u0000 <mrow>\u0000 <mi>i</mi>\u0000 <mo>=</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 ","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127219984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The problem of plane waves in nonlocal fractional-order thermoelasticity has been studied. We have considered the x-y plane for the governing equation of nonlocal fractional thermoelasticity and solved these governing equations to calculate the equation in terms of frequency. This frequency shows that three sets of waves exist, in which two are coupled and one is uncoupled. The reflection coefficient of plane waves for classical theory and LS theory has been calculated. The effect of phase speeds, specific losses, and attenuation coefficients with respect to the frequency and nonlocal parameter for the two theories (LS theory and the classical theory of thermoelasticity) has been studied numerically for all propagating waves, and the same has been plotted graphically and explained thoroughly.
{"title":"Reflection of Plane Waves in Nonlocal Fractional-Order Thermoelastic Half Space","authors":"Surbhi Sharma, Sangeeta Kumari","doi":"10.1155/2022/1223847","DOIUrl":"https://doi.org/10.1155/2022/1223847","url":null,"abstract":"The problem of plane waves in nonlocal fractional-order thermoelasticity has been studied. We have considered the x-y plane for the governing equation of nonlocal fractional thermoelasticity and solved these governing equations to calculate the equation in terms of frequency. This frequency shows that three sets of waves exist, in which two are coupled and one is uncoupled. The reflection coefficient of plane waves for classical theory and LS theory has been calculated. The effect of phase speeds, specific losses, and attenuation coefficients with respect to the frequency and nonlocal parameter for the two theories (LS theory and the classical theory of thermoelasticity) has been studied numerically for all propagating waves, and the same has been plotted graphically and explained thoroughly.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"157 11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128781123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper deals with the existence of weak solutions to a Dirichlet problem for a semilinear elliptic equation involving the difference of two main nonlinearities functions that depends on a real parameter λ . According to the values of λ , we give both nonexistence and multiplicity results by using variational methods. In particular, we first exhibit a critical positive value such that the problem admits at least a nontrivial non-negative weak solution if and only if λ is greater than or equal to this critical value. Furthermore, for λ greater than a second critical positive value, we show the existence of two independent nontrivial non-negative weak solutions to the problem.
{"title":"Multiplicity Results for Weak Solutions of a Semilinear Dirichlet Elliptic Problem with a Parametric Nonlinearity","authors":"Ayékotan M. J. Tchalla, K. Tcharie","doi":"10.1155/2022/6011860","DOIUrl":"https://doi.org/10.1155/2022/6011860","url":null,"abstract":"This paper deals with the existence of weak solutions to a Dirichlet problem for a semilinear elliptic equation involving the difference of two main nonlinearities functions that depends on a real parameter \u0000 \u0000 λ\u0000 \u0000 . According to the values of \u0000 \u0000 λ\u0000 \u0000 , we give both nonexistence and multiplicity results by using variational methods. In particular, we first exhibit a critical positive value such that the problem admits at least a nontrivial non-negative weak solution if and only if \u0000 \u0000 λ\u0000 \u0000 is greater than or equal to this critical value. Furthermore, for \u0000 \u0000 λ\u0000 \u0000 greater than a second critical positive value, we show the existence of two independent nontrivial non-negative weak solutions to the problem.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123388113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Siriyakorn Duangmoon, Praphon Kanokladarom, Suchada Pongprasert, T. Rungratgasame, Natsima Srithaisong
We convert a classical magic cube of order 4, which is an arrangement of , to a cube of order 4 whose entries belong to . By using finite-dimensional vector spaces over the field , we introduce the notion of affine magic cubes and study their properties. The obtained results can be applied to describe some features of various types of magic cubes of order 4.
{"title":"Affine Magic Cubes of Order 4: Concepts and Applications","authors":"Siriyakorn Duangmoon, Praphon Kanokladarom, Suchada Pongprasert, T. Rungratgasame, Natsima Srithaisong","doi":"10.1155/2022/2578562","DOIUrl":"https://doi.org/10.1155/2022/2578562","url":null,"abstract":"<jats:p>We convert a classical magic cube of order 4, which is an arrangement of <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\u0000 <mfenced open=\"{\" close=\"}\" separators=\"|\">\u0000 <mrow>\u0000 <mn>1,2</mn>\u0000 <mo>,</mo>\u0000 <mo>…</mo>\u0000 <mo>,</mo>\u0000 <mn>64</mn>\u0000 </mrow>\u0000 </mfenced>\u0000 </math>\u0000 </jats:inline-formula>, to a cube of order 4 whose entries belong to <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\u0000 <msubsup>\u0000 <mi>F</mi>\u0000 <mn>2</mn>\u0000 <mn>6</mn>\u0000 </msubsup>\u0000 </math>\u0000 </jats:inline-formula>. By using finite-dimensional vector spaces over the field <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <msub>\u0000 <mrow>\u0000 <mi>F</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msub>\u0000 </math>\u0000 </jats:inline-formula>, we introduce the notion of affine magic cubes and study their properties. The obtained results can be applied to describe some features of various types of magic cubes of order 4.</jats:p>","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125457922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the current research, the numerical solutions for heat transfer in an Eyring–Powell fluid that conducts electricity past an exponentially growing sheet with chemical reactions are examined. As the sheet is stretched in the x direction, the flow occupies the region y > 0 . MHD, radiation, joule heating effects, and thermal relaxation time are all used to represent the flow scenario. The emergent problem is represented using PDEs, which are then converted to ODEs using appropriate similarity transformations. The converted problem is solved numerically using the SLM method. The main goal of this paper is to compare the results of solving the velocity and temperature equations in the presence of K changes through SLM, introducing it as a precise and appropriate method for solving nonlinear differential equations. Tables with the numerical results are created for comparison. This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Following that, the generated solution is studied and explained in relation to a variety of engineering parameters. Additionally, the thermal relaxation period is inversely proportional to the thickness of the thermal boundary layer and the temperature, but the Eckert number E c is the opposite. As E c grows, the temperature within the channel increases.
{"title":"Chemical Reaction and Generalized Heat Flux Model for Powell-Eyring Model with Radiation Effects","authors":"F. Salah","doi":"10.1155/2022/4076426","DOIUrl":"https://doi.org/10.1155/2022/4076426","url":null,"abstract":"In the current research, the numerical solutions for heat transfer in an Eyring–Powell fluid that conducts electricity past an exponentially growing sheet with chemical reactions are examined. As the sheet is stretched in the \u0000 \u0000 x\u0000 \u0000 direction, the flow occupies the region \u0000 \u0000 \u0000 y\u0000 >\u0000 0\u0000 \u0000 . MHD, radiation, joule heating effects, and thermal relaxation time are all used to represent the flow scenario. The emergent problem is represented using PDEs, which are then converted to ODEs using appropriate similarity transformations. The converted problem is solved numerically using the SLM method. The main goal of this paper is to compare the results of solving the velocity and temperature equations in the presence of \u0000 \u0000 \u0000 K\u0000 \u0000 changes through SLM, introducing it as a precise and appropriate method for solving nonlinear differential equations. Tables with the numerical results are created for comparison. This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Following that, the generated solution is studied and explained in relation to a variety of engineering parameters. Additionally, the thermal relaxation period is inversely proportional to the thickness of the thermal boundary layer and the temperature, but the Eckert number \u0000 \u0000 E\u0000 c\u0000 \u0000 is the opposite. As \u0000 \u0000 E\u0000 c\u0000 \u0000 grows, the temperature within the channel increases.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133073371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper aims to introduce and investigate a new class of generalized Fubini-type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials. Finally, probabilistic applications and some probabilistic properties are obtained.
{"title":"Generalized Fubini Apostol-Type Polynomials and Probabilistic Applications","authors":"R. Gomaa, A. Magar","doi":"10.1155/2022/2853920","DOIUrl":"https://doi.org/10.1155/2022/2853920","url":null,"abstract":"The paper aims to introduce and investigate a new class of generalized Fubini-type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials. Finally, probabilistic applications and some probabilistic properties are obtained.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122546395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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