Solution of abel‐type hypergeometric integral equation

A. A. Kilbas; R. K. Raina; M. Saigo; H. M. Srivastava

doi:10.3846/13926292.1997.9637072

Mathematical Modelling and Analysis (Dec 1997)

Solution of abel‐type hypergeometric integral equation

A. A. Kilbas,
R. K. Raina,
M. Saigo,
H. M. Srivastava

Affiliations

A. A. Kilbas: Department of Mathematics and Mechanics , Belarusian State University , Minsk, 220050, Belarus
R. K. Raina: College of Technology and Agricultural Engineering , Udaipur, Rajasthan, 313001, India
M. Saigo: Department of Applied Mathematics , Fukuoka University , Fukuoka, 814–80, Japan
H. M. Srivastava: Department of Mathematics and Statistics , University of Victoria , Victoria, British Columbia, V8W 3P4, Canada

DOI: https://doi.org/10.3846/13926292.1997.9637072
Journal volume & issue: Vol. 2, no. 1

Abstract

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The paper is devoted to the study of the one‐dimensional integral equation involving the Gauss hypergeometric function in the kernel. The necessary and sufficient conditions for the solvability of such an equation in the space of summable functions are proved and two forms for its solution are given. First Published Online: 14 Oct 2010

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Published in Mathematical Modelling and Analysis

ISSN: 1392-6292 (Print); 1648-3510 (Online)
Publisher: Vilnius Gediminas Technical University
Country of publisher: Lithuania
LCC subjects: Science: Mathematics
Website: https://journals.vilniustech.lt/index.php/MMA

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