Solution of abel‐type hypergeometric integral equation

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

Abstract

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.

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Solution of abel‐type hypergeometric integral equation

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Solution of abel‐type hypergeometric integral equation

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