Lp-bounded operators involving generalized hypergeometric functions

被引：1

作者：

Habibullah, G. M. ^{[1
]}

Mubeen, S. ^{[1
]}

机构：

[1] Natl Coll Business Adm & Econ, Lahore, Pakistan

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2011年 / 22卷 / 02期

关键词：

fractional integral transforms; Liouville and Kober fractional integrals; generalized hypergeometric functions; integral transforms with generalized hypergeometric functions in the kernel;

D O I：

10.1080/10652469.2010.501555

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We herein determine an integral representation of generalized hypergeometric functions mFm extending the usual results on 1F1. After formulating integral operators involving the generalized hypergeometric functions of the form: [image omitted] and [image omitted] we prove that these operators are composition of generalized variants of the Laplace transform (and Watson) and Erdelyi-Kober fractional integral operators. We also prove that these operators are bounded in Lp.

引用

页码：143 / 149

页数：7

共 28 条

[21] HYPERDIRE-HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function FC of three variables
Bytev, Vladimir V.
Kniehl, Bernd A.
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2016, 206 : 78 - 83
[22] A STUDY OF UNIFIED FINITE INTEGRAL INVOLVING HYPERGEOMETRIC FUNCTION AND GENERAL CLASS OF FUNCTIONS-II
Gupta, Kantesh
Gurjar, Meena Kumari
[J]. JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2013, 12 (02): : 213 - 226
[23] Pearson equations for discrete orthogonal polynomials: I. Generalized hypergeometric functions and Toda equations
Manas, Manuel
Fernandez-Irisarri, Itsaso
Gonzalez-Hernandez, Omar F.
[J]. STUDIES IN APPLIED MATHEMATICS, 2022, 148 (03) : 1141 - 1179
[24] Differential reduction of generalized hypergeometric functions from Feynman diagrams: One-variable case
Bytev, Vladimir V.
Kalmykov, Mikhail Yu.
Kniehl, Bernd A.
[J]. NUCLEAR PHYSICS B, 2010, 836 (03) : 129 - 170
[25] A NOTE ON SOME NEW Pδ-TRANSFORMS OF 2F2 GENERALIZED HYPERGEOMETRIC FUNCTIONS
Purohit, S. D.
Harsh, H. V.
Rathie, A. K.
[J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (03): : 761 - 768
[26] Bounded Mocanu Variation Properties of Certain Subclass of Meromorphic Functions Involving a Family of Linear Operator
Muhammad, Ali
[J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (03): : 365 - 374
[27] The Fourier-Legendre Series of Bessel Functions of the First Kind and the Summed Series Involving 1F2 Hypergeometric Functions That Arise from Them
Straton, Jack C.
[J]. AXIOMS, 2024, 13 (02)
[28] Inductance Calculations for Circular Coils With Rectangular Cross Section and Parallel Axes Using Inverse Mellin Transform and Generalized Hypergeometric Functions
Luo, Yao
Wang, Xiaowei
Zhou, Xinglong
[J]. IEEE TRANSACTIONS ON POWER ELECTRONICS, 2017, 32 (02) : 1367 - 1374

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