Parseval–Goldstein Type Theorems for the Index 2F1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${ }_2 F_1$$\end{document}-Transform

被引：0
作者：
Jeetendrasingh Maan
E. R. Negrín
机构：
[1] National Institute of Technology,Department of Mathematics and Scientific Computing
[2] Universidad de La Laguna (ULL),Departamento de Análisis Matemático, Facultad de Ciencias
[3] Universidad de La Laguna (ULL),Instituto de Matemáticas y Aplicaciones (IMAULL)
来源：
International Journal of Applied and Computational Mathematics | 2024年 / 10卷 / 2期
关键词：
Index ; -transform; Weighted Lebesgue spaces; Parseval–Goldstein relations; 44A15; 46E30; 47G10;
D O I：
10.1007/s40819-024-01713-9
中图分类号：
学科分类号：
摘要：
The aim of this paper is to obtain Parseval–Goldstein type relations for the index 2F1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${ }_2 F_1$$\end{document}-transform.
引用
收藏
相关论文
共 24 条
  • [1] González BJ(2023)-Inequalities and Parseval-type relations for the index Filomat 37 1087-1095
  • [2] Negrín ER(1964)-transform Proc. Edinburgh Math. Soc. 14 33-40
  • [3] Wimp J(2016)A class of integral transforms Commun. Korean Math. Soc. 31 779-790
  • [4] Choi J(1992)Some integral transforms involving extended generalized Gauss hypergeometric functions Rev. Técn. Fac. Ingr. Univ. Zulia 15 167-171
  • [5] Kachhia KB(1992)Abelian theorems for the index Rev. Acad. Canaria Cienc. 4 23-29
  • [6] Prajapati JC(1993)-transform J. Inst. Math. Comput. Sci. Math. Ser. 6 21-24
  • [7] Purohit SD(1993)Abelian theorems for the generalized index Comment. Math. Univ. Carolin. 34 657-671
  • [8] Hayek N(1994)-transform Math. Nachr. 165 15-24
  • [9] González BJ(1994)A convolution theorem for the index Jñānābha 24 13-18
  • [10] Negrín ER(1997)-transform Rev. Roumaine Math. Pures Appl. 42 567-578
123