Pub Date : 2023-05-22DOI: 10.1080/10652469.2023.2208725
Abdellatif Akhlidj, Fatima Elgadiri, Afaf Dahani
In this paper, we introduce the Canonical Fourier-Jacobi transform, which is a generalization of Fractional Fourier-Bessel transform. We define and study the translation operator and we also derive the convolution product related to the canonical Fourier-Bessel transform. Some important properties are established.
{"title":"Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform","authors":"Abdellatif Akhlidj, Fatima Elgadiri, Afaf Dahani","doi":"10.1080/10652469.2023.2208725","DOIUrl":"https://doi.org/10.1080/10652469.2023.2208725","url":null,"abstract":"In this paper, we introduce the Canonical Fourier-Jacobi transform, which is a generalization of Fractional Fourier-Bessel transform. We define and study the translation operator and we also derive the convolution product related to the canonical Fourier-Bessel transform. Some important properties are established.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"799 - 812"},"PeriodicalIF":1.0,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44622032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-17DOI: 10.1080/10652469.2023.2212396
S. I. Bezrodnykh
The paper considers the issue of constructing basises in the solution space of the system of partial differential equations, which is satisfied by the Lauricella hypergeometric function , depending on N complex variables and having complex parameters , b, c. For an arbitrary number N of variables, we have obtained explicit representations for such basis functions in the vicinity of points and in terms of the Horn type hypergeometric series in N variables. For some of these functions we have obtained formulas of analytic continuation. The found continuation formulas are important for calculating the solution of the Riemann – Hilbert problem with piecewise constant coefficients and studying its geometrical meaning. Besides, these formulas are effective for solving the parameters problem for the Schwarz – Christoffel integral and calculating conformal mapping of complex-shaped polygons.
{"title":"Constructing basises in solution space of the system of equations for the Lauricella Function FD (N)","authors":"S. I. Bezrodnykh","doi":"10.1080/10652469.2023.2212396","DOIUrl":"https://doi.org/10.1080/10652469.2023.2212396","url":null,"abstract":"The paper considers the issue of constructing basises in the solution space of the system of partial differential equations, which is satisfied by the Lauricella hypergeometric function , depending on N complex variables and having complex parameters , b, c. For an arbitrary number N of variables, we have obtained explicit representations for such basis functions in the vicinity of points and in terms of the Horn type hypergeometric series in N variables. For some of these functions we have obtained formulas of analytic continuation. The found continuation formulas are important for calculating the solution of the Riemann – Hilbert problem with piecewise constant coefficients and studying its geometrical meaning. Besides, these formulas are effective for solving the parameters problem for the Schwarz – Christoffel integral and calculating conformal mapping of complex-shaped polygons.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"80 4","pages":"813 - 834"},"PeriodicalIF":1.0,"publicationDate":"2023-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41291381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-14DOI: 10.1080/10652469.2023.2212398
B. J. González, E. Negrín
In this paper, we deal with the iteration of the Laplace transform over certain spaces of generalized functions. As a consequence we prove a new Post-Widder-type inversion formula for this transform over distributions of compact support.
{"title":"Iteration of the Laplace transform over generalized functions and a Post-Widder inversion formula over distributions of compact support","authors":"B. J. González, E. Negrín","doi":"10.1080/10652469.2023.2212398","DOIUrl":"https://doi.org/10.1080/10652469.2023.2212398","url":null,"abstract":"In this paper, we deal with the iteration of the Laplace transform over certain spaces of generalized functions. As a consequence we prove a new Post-Widder-type inversion formula for this transform over distributions of compact support.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"835 - 848"},"PeriodicalIF":1.0,"publicationDate":"2023-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45304903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-05DOI: 10.36456/special.vol4.no1.a7106
Elya Marfu’atun
The purpose of this study was to determine the effectiveness of the Discrete Trial Teaching method in improving the receptive language skills of children with Global Developmental Delay. The receptive language skills provided in this intervention are recognizing body parts in the facial area. This research is an-experimental research with a single subject research, which uses the A-B-A model. Baseline measurements were carried out twice, namely before and after the implementation of the intervention. This study used 20 sessions consisting of 5 sessions for the first baseline, 10 intervention sessions and 5 sessions for the second baseline. The participant of this study was a boy aged 3 years and 6 months who was diagnosed with Global Developmental Delay. Data analysis used in this study is visual analysis which includes 6 components. The results showed that there was an increase in scores and with an upward trend and good stability, so it can be concluded that the Discrete Trial Teaching method can effectively improve the receptive language skills of children with Global Developmental Delay.
摘要本研究旨在探讨离散试验教学法对整体发展迟缓儿童接受性语言技能的改善效果。在这种干预中提供的接受性语言技能是识别面部区域的身体部位。本研究为单课题实验研究，采用a - b - a模型。基线测量进行了两次，即在实施干预之前和之后。本研究使用了20个疗程，包括5个疗程作为第一个基线，10个干预疗程和5个疗程作为第二个基线。本研究的参与者是一名3岁零6个月的男孩，他被诊断为全面发育迟缓。本研究使用的数据分析是可视化分析，包括6个组成部分。结果显示，得分有所提高，且呈上升趋势，稳定性较好，因此可以认为离散试验教学法可以有效提高整体发育迟缓儿童的接受性语言技能。
{"title":"Discrete Trial Teaching Method to Improve Receptive Language Skills in Children with Global Developmental Delay","authors":"Elya Marfu’atun","doi":"10.36456/special.vol4.no1.a7106","DOIUrl":"https://doi.org/10.36456/special.vol4.no1.a7106","url":null,"abstract":"The purpose of this study was to determine the effectiveness of the Discrete Trial Teaching method in improving the receptive language skills of children with Global Developmental Delay. The receptive language skills provided in this intervention are recognizing body parts in the facial area. This research is an-experimental research with a single subject research, which uses the A-B-A model. Baseline measurements were carried out twice, namely before and after the implementation of the intervention. This study used 20 sessions consisting of 5 sessions for the first baseline, 10 intervention sessions and 5 sessions for the second baseline. The participant of this study was a boy aged 3 years and 6 months who was diagnosed with Global Developmental Delay. Data analysis used in this study is visual analysis which includes 6 components. The results showed that there was an increase in scores and with an upward trend and good stability, so it can be concluded that the Discrete Trial Teaching method can effectively improve the receptive language skills of children with Global Developmental Delay.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"32 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88428964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-05DOI: 10.36456/special.vol4.no1.a7125
Muhaimi Mughni Prayogo, K. Wardani, Haniek Farida
The practice of education in schools still needs to improve in the form of limited studies focusing on parental involvement in the learning process of children with special needs in Indonesia. This study aimed to identify the forms of parental involvement in planning, implementing, and evaluating learning programs from 2017 to 2022 using the Systematic Literature Review (SLR) method. The stages of implementation using the Cooper version are (1) formulating the problem, (2) collecting data, (3) evaluating the feasibility of the data, (4) analysis and interpreting the relevant data, and (5) organizing and presenting the results. Data was collected by searching for keywords related to the concept to be reviewed on the data source page (Google Scholar, Perpusnas.go.id, and Portal Garuda). The results of this study indicate that parental involvement in learning planning is as a giver and recipient of information about the child's condition in the assessment process but has yet to be involved in determining the learning program. Meanwhile, mostly parents accompanied children when studying at home during the pandemic, despite many challenges in the learning implementation. As for the evaluation process, parents monitored their children’s progress and gave feedback to the teachers about their children’s achievements. The findings of this study indicate the need for further studies to improve school-parent collaboration in Indonesia.
{"title":"Parental Involvement in Learning Programs for Children with Special Needs in Indonesia","authors":"Muhaimi Mughni Prayogo, K. Wardani, Haniek Farida","doi":"10.36456/special.vol4.no1.a7125","DOIUrl":"https://doi.org/10.36456/special.vol4.no1.a7125","url":null,"abstract":"The practice of education in schools still needs to improve in the form of limited studies focusing on parental involvement in the learning process of children with special needs in Indonesia. This study aimed to identify the forms of parental involvement in planning, implementing, and evaluating learning programs from 2017 to 2022 using the Systematic Literature Review (SLR) method. The stages of implementation using the Cooper version are (1) formulating the problem, (2) collecting data, (3) evaluating the feasibility of the data, (4) analysis and interpreting the relevant data, and (5) organizing and presenting the results. Data was collected by searching for keywords related to the concept to be reviewed on the data source page (Google Scholar, Perpusnas.go.id, and Portal Garuda). The results of this study indicate that parental involvement in learning planning is as a giver and recipient of information about the child's condition in the assessment process but has yet to be involved in determining the learning program. Meanwhile, mostly parents accompanied children when studying at home during the pandemic, despite many challenges in the learning implementation. As for the evaluation process, parents monitored their children’s progress and gave feedback to the teachers about their children’s achievements. The findings of this study indicate the need for further studies to improve school-parent collaboration in Indonesia.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"285 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83119071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-30DOI: 10.36456/special.vol4.no1.a7203
Risky Amelia
The objective of this research is to look into the inclusion of children with neurological diseases in Indian education. According to the research, a substantial proportion of children in India have neurological disorders, and they frequently face barriers to education. The study examines the current situation of education for children with neurological problems in India, as well as the policies and laws that regulate their education. The review also looks at the difficulties that these children, their families, and educators have had in implementing inclusive education. Lastly, the report explores interventions and techniques that can help children with neurological disorders be included in Indian education settings with a concerted effort from all stakeholders involved in the education process.
{"title":"Improvement of Beginning Reading Ability in Class V Dyslexic Students through the Silaba Method at Jombang 05 Public Elementary School","authors":"Risky Amelia","doi":"10.36456/special.vol4.no1.a7203","DOIUrl":"https://doi.org/10.36456/special.vol4.no1.a7203","url":null,"abstract":"The objective of this research is to look into the inclusion of children with neurological diseases in Indian education. According to the research, a substantial proportion of children in India have neurological disorders, and they frequently face barriers to education. The study examines the current situation of education for children with neurological problems in India, as well as the policies and laws that regulate their education. The review also looks at the difficulties that these children, their families, and educators have had in implementing inclusive education. Lastly, the report explores interventions and techniques that can help children with neurological disorders be included in Indian education settings with a concerted effort from all stakeholders involved in the education process.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"5 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87448289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-22DOI: 10.1080/10652469.2023.2190971
B. Selmi, Rahma Chbeb
We study the poly-axially -multiplier operators on and we give for them some Calderón's reproducing formulas and best approximation using the theory of reproducing kernels.
本文研究了上的多轴乘子算子，并利用再现核理论给出了它们的一些Calderón的再现公式和最佳逼近。
{"title":"Calderón's reproducing formulas for the poly-axially L α 2-multiplier operators","authors":"B. Selmi, Rahma Chbeb","doi":"10.1080/10652469.2023.2190971","DOIUrl":"https://doi.org/10.1080/10652469.2023.2190971","url":null,"abstract":"We study the poly-axially -multiplier operators on and we give for them some Calderón's reproducing formulas and best approximation using the theory of reproducing kernels.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"770 - 787"},"PeriodicalIF":1.0,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47094764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-21DOI: 10.1080/10652469.2023.2191320
I. Shilin, Junesang Choi
Using a representation of the unimodular Lorentz group, we derive some relations between hyper Bessel–Clifford, Macdonald and Meijer functions. We obtained them as two additional theorems (continual and countable) for a functional defined on the above group and a pair of basis functions belonging to representation spaces. Introducing a hyper analogue of the known first and second Hankel–Clifford integral transforms and writing the continual addition theorem for a particular case, we obtain a simple formula for the sum of these transforms of Macdonald function.
{"title":"On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms","authors":"I. Shilin, Junesang Choi","doi":"10.1080/10652469.2023.2191320","DOIUrl":"https://doi.org/10.1080/10652469.2023.2191320","url":null,"abstract":"Using a representation of the unimodular Lorentz group, we derive some relations between hyper Bessel–Clifford, Macdonald and Meijer functions. We obtained them as two additional theorems (continual and countable) for a functional defined on the above group and a pair of basis functions belonging to representation spaces. Introducing a hyper analogue of the known first and second Hankel–Clifford integral transforms and writing the continual addition theorem for a particular case, we obtain a simple formula for the sum of these transforms of Macdonald function.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"788 - 798"},"PeriodicalIF":1.0,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42882446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-16DOI: 10.1080/10652469.2023.2189706
Abdus Saboor, A. Khan, N. Ahmad
Conway [A Lagrangian method for deriving new indefinite integrals of special functions. Integral Transforms Spec Funct. 2015;26:812–824] introduced a new and simple method named the ‘Lagrangian method’ for deriving indefinite integrals of both elementary and special functions, provided the function satisfies the second-order linear differential equation. In this paper, different Meijer's G-functions have been used for deriving indefinite integrals, which satisfy second-order differential equations. We have derived recurrence relations and the integration of those recurrence relations by the Lagrangian method. We have discussed the integration of Euler identity, which is given in terms of Meijer's G-function. Different additional relations of Meijer's G-functions have also been discussed.
{"title":"The indefinite integrals of Meijer's G-functions from integrating factors","authors":"Abdus Saboor, A. Khan, N. Ahmad","doi":"10.1080/10652469.2023.2189706","DOIUrl":"https://doi.org/10.1080/10652469.2023.2189706","url":null,"abstract":"Conway [A Lagrangian method for deriving new indefinite integrals of special functions. Integral Transforms Spec Funct. 2015;26:812–824] introduced a new and simple method named the ‘Lagrangian method’ for deriving indefinite integrals of both elementary and special functions, provided the function satisfies the second-order linear differential equation. In this paper, different Meijer's G-functions have been used for deriving indefinite integrals, which satisfy second-order differential equations. We have derived recurrence relations and the integration of those recurrence relations by the Lagrangian method. We have discussed the integration of Euler identity, which is given in terms of Meijer's G-function. Different additional relations of Meijer's G-functions have also been discussed.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"755 - 769"},"PeriodicalIF":1.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46837516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-08DOI: 10.1080/10652469.2023.2184816
Abdessadek Saib
This paper focuses on the quasi-orthogonality between sequences of -orthogonal polynomials and their characterization in terms of linear combinations as well as the left product of vector of linear forms by matrix polynomial. Therefore, structure relations for Hahn-classical -orthogonal polynomials are provided.
{"title":"On the quasi-orthogonality and Hahn-classical d-orthogonal polynomials","authors":"Abdessadek Saib","doi":"10.1080/10652469.2023.2184816","DOIUrl":"https://doi.org/10.1080/10652469.2023.2184816","url":null,"abstract":"This paper focuses on the quasi-orthogonality between sequences of -orthogonal polynomials and their characterization in terms of linear combinations as well as the left product of vector of linear forms by matrix polynomial. Therefore, structure relations for Hahn-classical -orthogonal polynomials are provided.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"737 - 754"},"PeriodicalIF":1.0,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47925038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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