Pub Date : 2021-02-13DOI: 10.36753/MATHENOT.839111
S. Araci
Recently, Kim-Kim [10] have studied type 2-Changhee and Daehee polynomials. They have also introduced the type 2-Bernoulli polynomials in order to express the central factorial numbers of the second kind by making use of type 2-Bernoulli numbers of negative integral orders. Inspired by their work, we consider a new class of generating functions of type 2-Bernoulli polynomials. We give some identities for these polynomials including type 2-Euler polynomials and Stirling numbers of the second kind.
{"title":"Degenerate poly type 2-Bernoulli polynomials","authors":"S. Araci","doi":"10.36753/MATHENOT.839111","DOIUrl":"https://doi.org/10.36753/MATHENOT.839111","url":null,"abstract":"Recently, Kim-Kim [10] have studied type 2-Changhee and Daehee polynomials. They have also introduced the type 2-Bernoulli polynomials in order to express the central factorial numbers of the second kind by making use of type 2-Bernoulli numbers of negative integral orders. Inspired by their work, we consider a new class of generating functions of type 2-Bernoulli polynomials. We give some identities for these polynomials including type 2-Euler polynomials and Stirling numbers of the second kind.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116128865","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}
Pub Date : 2020-10-15DOI: 10.36753/mathenot.640345
Ayşe Yavuz, Fatma Ateş, Y. Yaylı
The main scope of this paper is to examine ruled surfaces with constant slope ruling with respect to the given surface according to Darboux Frame. We give necessary and su¢ cient conditions for these types surfaces to be developable. Also, the investigations are observed under some special cases. Especially we obtained that the striction lines and Gaussian curvature of the surfaces. .
{"title":"RULED SURFACES WITH CONSTANT SLOPE RULING ACCORDING TO DARBOUX FRAME","authors":"Ayşe Yavuz, Fatma Ateş, Y. Yaylı","doi":"10.36753/mathenot.640345","DOIUrl":"https://doi.org/10.36753/mathenot.640345","url":null,"abstract":"The main scope of this paper is to examine ruled surfaces with constant slope ruling with respect to the given surface according to Darboux Frame. We give necessary and su¢ cient conditions for these types surfaces to be developable. Also, the investigations are observed under some special cases. Especially we obtained that the striction lines and Gaussian curvature of the surfaces. .","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"235 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125754710","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}
Pub Date : 2020-10-15DOI: 10.36753/mathenot.683478
G. Ghosh
The object of the present paper is to study K-contact manifold admitting generalised Ricci solitons. We prove that a $K$-contact manifold of dimension $(2n+1)$ satisfying the generalised Ricci soliton equation is an Einstein one. Finally, we obtain several remarks.
{"title":"Generalized Ricci solitons on K-contact manifolds","authors":"G. Ghosh","doi":"10.36753/mathenot.683478","DOIUrl":"https://doi.org/10.36753/mathenot.683478","url":null,"abstract":"The object of the present paper is to study K-contact manifold admitting generalised Ricci solitons. We prove that a $K$-contact manifold of dimension $(2n+1)$ satisfying the generalised Ricci soliton equation is an Einstein one. Finally, we obtain several remarks.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129985340","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}
Pub Date : 2020-10-10DOI: 10.36753/mathenot.742338
Alper Çay, Y. Yaylı
In this paper, the equation of the ones that provide the Mannheim curve feature in slant helices have been obtained and the intrinsic equation of Mannheim curves have been given for the first time.
本文得到了在斜螺旋中具有曼海姆曲线特征的曲线方程，并首次给出了曼海姆曲线的内在方程。
{"title":"On Slant Helices And Manheim Curves in E^3","authors":"Alper Çay, Y. Yaylı","doi":"10.36753/mathenot.742338","DOIUrl":"https://doi.org/10.36753/mathenot.742338","url":null,"abstract":"In this paper, the equation of the ones that provide the Mannheim curve feature in slant helices have been obtained and the intrinsic equation of Mannheim curves have been given for the first time.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133907391","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}
Pub Date : 2020-10-10DOI: 10.36753/mathenot.640523
Z. Akça, A. Altintaş
The 3−spaces generate intersect pairwise in at least a line (each pair of 4−sets share two points). But since the union of two such 4-sets is a 6-set, this union generates the whole space, so they pairwise intersect in a line. Dually, the lines that we consider have empty intersection. Other examples of such sets are spreads of lines, or spreads of any kind. In this work, we present SCID properties spaces generated by 4-arcs of Fano plane.
{"title":"A note on embedding the 4-arcs of Fano plane with quadric and cubic Veroneseans to projective spaces","authors":"Z. Akça, A. Altintaş","doi":"10.36753/mathenot.640523","DOIUrl":"https://doi.org/10.36753/mathenot.640523","url":null,"abstract":"The 3−spaces generate intersect pairwise in at least a line (each pair of 4−sets share two points). But since the union of two such 4-sets is a 6-set, this union generates the whole space, so they pairwise intersect in a line. Dually, the lines that we consider have empty intersection. Other examples of such sets are spreads of lines, or spreads of any kind. In this work, we present SCID properties spaces generated by 4-arcs of Fano plane.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123755694","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}
Pub Date : 2020-10-09DOI: 10.36753/mathenot.747990
Zehra Velioǧlu
Let L be a Lie algebra. Denote the second term of the derived series of L by L (cid:48)(cid:48) . We define the parafree centre-by-metabelian Lie algebras. We prove that if L is a parafree centre-by-metabelian, then the center of L is L (cid:48)(cid:48) . Moreover we show that the algebra L/L (cid:48)(cid:48) is parafree metabelian Lie algebra.
设L是李代数。表示L × L (cid:48)(cid:48)的派生级数的第二项。定义了仿自由中心-元李代数。我们证明了如果L是一个无中心-代谢物，那么L的中心是L (cid:48)(cid:48)。进一步证明了代数L/L (cid:48)(cid:48)是副自由元李代数。
{"title":"Parafree Center-by-Metabelian Lie Algebras","authors":"Zehra Velioǧlu","doi":"10.36753/mathenot.747990","DOIUrl":"https://doi.org/10.36753/mathenot.747990","url":null,"abstract":"Let L be a Lie algebra. Denote the second term of the derived series of L by L (cid:48)(cid:48) . We define the parafree centre-by-metabelian Lie algebras. We prove that if L is a parafree centre-by-metabelian, then the center of L is L (cid:48)(cid:48) . Moreover we show that the algebra L/L (cid:48)(cid:48) is parafree metabelian Lie algebra.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123175223","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}
Pub Date : 2020-10-07DOI: 10.36753/MATHENOT.643969
T. Ermiş
{"title":"Geometric Analysis of the Some Rectified Archimedean Solids Spaces via Their Isometry Groups","authors":"T. Ermiş","doi":"10.36753/MATHENOT.643969","DOIUrl":"https://doi.org/10.36753/MATHENOT.643969","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123818355","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}
Pub Date : 2020-08-02DOI: 10.36753/mathenot.752965
Sibel Acik Kemaloglu, M. Yilmaz
In this paper, we introduce a new compounding distribution named Exponential Discrete Lindley distribution which compounds the discrete Lindley distribution and exponential distribution. We obtain several properties of the new distribution such as its probability density function, survival function, hazard rate function, mean residual life function. Moments and expression for the Rényi entropy of the proposed distribution are also given. Moreover, the maximum likelihood method using the EM algorithm is developed for parameter estimation. Two real data sets are used to illustrate the usefulness of the proposed distribution.
{"title":"Exponential-Discrete Lindley Distribution: Properties and Applications","authors":"Sibel Acik Kemaloglu, M. Yilmaz","doi":"10.36753/mathenot.752965","DOIUrl":"https://doi.org/10.36753/mathenot.752965","url":null,"abstract":"In this paper, we introduce a new compounding distribution named Exponential Discrete Lindley distribution which compounds the discrete Lindley distribution and exponential distribution. We obtain several properties of the new distribution such as its probability density function, survival function, hazard rate function, mean residual life function. Moments and expression for the Rényi entropy of the proposed distribution are also given. Moreover, the maximum likelihood method using the EM algorithm is developed for parameter estimation. Two real data sets are used to illustrate the usefulness of the proposed distribution.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117126682","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}
Pub Date : 2020-08-01DOI: 10.36753/mathenot.718833
Elis Soylu Yilmaz, Koray Yılmaz
In this work, we show a categorical property for crossed squares of commutative algebras by defining a specific object in this category and then we give the construction of the pullback with this object.
{"title":"On Crossed Squares of Commutative Algebras","authors":"Elis Soylu Yilmaz, Koray Yılmaz","doi":"10.36753/mathenot.718833","DOIUrl":"https://doi.org/10.36753/mathenot.718833","url":null,"abstract":"In this work, we show a categorical property for crossed squares of commutative algebras by defining a specific object in this category and then we give the construction of the pullback with this object.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134296177","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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