Pub Date : 2024-07-04DOI: 10.1080/10652469.2024.2363791
Yu. A. Brychkov
Series of the form ∑k=0∞∏i=1p(ai)k∏j=1q(bj)kwkFk(z) are considered, where Fk(z) are special functions of hypergeometric type. Various types of series involving Bessel, Struve, incomplete gamma func...
{"title":"On some series of special functions","authors":"Yu. A. Brychkov","doi":"10.1080/10652469.2024.2363791","DOIUrl":"https://doi.org/10.1080/10652469.2024.2363791","url":null,"abstract":"Series of the form ∑k=0∞∏i=1p(ai)k∏j=1q(bj)kwkFk(z) are considered, where Fk(z) are special functions of hypergeometric type. Various types of series involving Bessel, Struve, incomplete gamma func...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"368 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141573461","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 : 2024-07-04DOI: 10.1080/10652469.2024.2371445
M. Thanga Rejini
The novel fractional Stockwell transform is extended to the suitably defined Schwartz space and the generalized fractional Stockwell transform is introduced. The pseudo-differential operator associ...
{"title":"Generalized fractional Stockwell transform and its associated pseudo-differential operator","authors":"M. Thanga Rejini","doi":"10.1080/10652469.2024.2371445","DOIUrl":"https://doi.org/10.1080/10652469.2024.2371445","url":null,"abstract":"The novel fractional Stockwell transform is extended to the suitably defined Schwartz space and the generalized fractional Stockwell transform is introduced. The pseudo-differential operator associ...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"175 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141573460","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 : 2024-07-02DOI: 10.1080/10652469.2024.2371446
Pham Van Hoang, Nguyen Thanh Hong, Le Xuan Huy, Nguyen Hong Van
In this paper, we study some properties of the Mehler–Fock convolution operator. We also analyse the Banach algebraic structure on the space of integrable functions L1(1,∞) with the multiplication ...
{"title":"Algebraic properties of Mehler–Fock convolution and applications","authors":"Pham Van Hoang, Nguyen Thanh Hong, Le Xuan Huy, Nguyen Hong Van","doi":"10.1080/10652469.2024.2371446","DOIUrl":"https://doi.org/10.1080/10652469.2024.2371446","url":null,"abstract":"In this paper, we study some properties of the Mehler–Fock convolution operator. We also analyse the Banach algebraic structure on the space of integrable functions L1(1,∞) with the multiplication ...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"23 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141546836","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 : 2024-06-29DOI: 10.1080/10652469.2024.2370053
Abhishek Singh, Nikhila Raghuthaman
The present paper investigates the wavelet convolutors on the distribution space Gα,β. Through a suitable choice of the convolutive dual, we have characterized Gα,β as a space of convolutors. Furth...
{"title":"Wavelet convolutors on the space of distributions","authors":"Abhishek Singh, Nikhila Raghuthaman","doi":"10.1080/10652469.2024.2370053","DOIUrl":"https://doi.org/10.1080/10652469.2024.2370053","url":null,"abstract":"The present paper investigates the wavelet convolutors on the distribution space Gα,β. Through a suitable choice of the convolutive dual, we have characterized Gα,β as a space of convolutors. Furth...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141573462","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 : 2024-05-12DOI: 10.1080/10652469.2024.2351396
S. I. Bezrodnykh
The paper considers the issue of constructing differential relations for the Lauricella hypergeometric function FD(N). The formulas found give explicit expressions for the derivative of the product...
{"title":"Generalizations of the Jacobi identity to the case of the Lauricella function FD(N)","authors":"S. I. Bezrodnykh","doi":"10.1080/10652469.2024.2351396","DOIUrl":"https://doi.org/10.1080/10652469.2024.2351396","url":null,"abstract":"The paper considers the issue of constructing differential relations for the Lauricella hypergeometric function FD(N). The formulas found give explicit expressions for the derivative of the product...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"138 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140939314","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 : 2024-05-09DOI: 10.1080/10652469.2024.2351382
Othman Tyr
This work is devoted to the study of the integrability of Mellin transforms under some sufficient and necessary conditions in the space Xcp of Lebesgue measurable functions f on R+=(0,+∞) such that...
这项工作致力于研究在 R+=(0,+∞) 上的 Lebesgue 可测函数 f 的空间 Xcp 中，梅林变换在一些充分和必要条件下的可积分性，从而...
{"title":"Sufficient conditions for the Lebesgue integrability of Mellin transforms","authors":"Othman Tyr","doi":"10.1080/10652469.2024.2351382","DOIUrl":"https://doi.org/10.1080/10652469.2024.2351382","url":null,"abstract":"This work is devoted to the study of the integrability of Mellin transforms under some sufficient and necessary conditions in the space Xcp of Lebesgue measurable functions f on R+=(0,+∞) such that...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"28 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140939312","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 : 2024-04-11DOI: 10.1080/10652469.2024.2341400
Trinh Tuan, Nguyen Thanh Hong
The main objective of this work is to introduce the generalized convolution with trigonometric weighted γ=siny involving the Fourier cosine–sine and Kontorovich–Lebedev transforms, and to study it...
{"title":"Trigonometric weighted generalized convolution operator associated with Fourier cosine–sine and Kontorovich–Lebedev transformations","authors":"Trinh Tuan, Nguyen Thanh Hong","doi":"10.1080/10652469.2024.2341400","DOIUrl":"https://doi.org/10.1080/10652469.2024.2341400","url":null,"abstract":"The main objective of this work is to introduce the generalized convolution with trigonometric weighted γ=siny involving the Fourier cosine–sine and Kontorovich–Lebedev transforms, and to study it...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"46 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140584556","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 : 2024-03-26DOI: 10.1080/10652469.2024.2334056
H. Chaggara, A. Gahami, N. Ben Romdhane
In this paper, using operational rules, we derive some explicit expansion formulas associated with Brenke type polynomials. In particular, the corresponding connection and linearization coefficient...
{"title":"Some expansion formulas for Brenke polynomial sets","authors":"H. Chaggara, A. Gahami, N. Ben Romdhane","doi":"10.1080/10652469.2024.2334056","DOIUrl":"https://doi.org/10.1080/10652469.2024.2334056","url":null,"abstract":"In this paper, using operational rules, we derive some explicit expansion formulas associated with Brenke type polynomials. In particular, the corresponding connection and linearization coefficient...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"12 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140302284","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 : 2024-03-24DOI: 10.1080/10652469.2024.2325429
Nimete Sh. Berisha, Faton M. Berisha, Bujar Xh. Fejzullahu
In this paper, we derive some Fourier transforms of confluent hypergeometric functions. We give generalizations of several well-known results involving Fourier transforms of gamma functions. In par...
{"title":"Some Fourier transforms involving confluent hypergeometric functions","authors":"Nimete Sh. Berisha, Faton M. Berisha, Bujar Xh. Fejzullahu","doi":"10.1080/10652469.2024.2325429","DOIUrl":"https://doi.org/10.1080/10652469.2024.2325429","url":null,"abstract":"In this paper, we derive some Fourier transforms of confluent hypergeometric functions. We give generalizations of several well-known results involving Fourier transforms of gamma functions. In par...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"12 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140302775","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 : 2024-03-18DOI: 10.1080/10652469.2024.2328105
Muqrin A. Almuqrin, Anis Riahi, Hafedh Rguigui
Using a biorthogonal technique (Appell system), the foremost aim of this study is to develop and highlight specific aspects of a new polynomial sequence known as Fractional Krawtchouk Appell polyno...
{"title":"Polynomial sequences associated with the fractional Pascal measure","authors":"Muqrin A. Almuqrin, Anis Riahi, Hafedh Rguigui","doi":"10.1080/10652469.2024.2328105","DOIUrl":"https://doi.org/10.1080/10652469.2024.2328105","url":null,"abstract":"Using a biorthogonal technique (Appell system), the foremost aim of this study is to develop and highlight specific aspects of a new polynomial sequence known as Fractional Krawtchouk Appell polyno...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"20 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140173160","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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