Two singular integral equations involving confluent hypergeometric functions-Reference-Cited by-同舟云学术

Two singular integral equations involving confluent hypergeometric functions

Published:1969-07 Issue:1 Volume:66 Page:71-89
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Prabhakar Tilak Raj

Abstract

Widder(1) obtained an inversion of the convolution transform

by the method of the Laplace transform, Ln(x) being the Laguerre polynomial. Buschman (2) inverted a similar transform with a generalized Laguerre polynomial as kernel and also solved (3) the singular integral equation

using Mikusinski operators. Srivastava(4, 4a) solved singular integral equations with kernels involving and Whittaker functions Mk,μ(x).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Two integral transform pairs involving hypergeometric functions;Jet;Proc. Glasgow Math. Assoc.,1965

2. Some Integral Equations Involving Hypergeometric Functions

3. The Inversion of A Convolution Transorm Whose Kernel is a Laguerre Polynomial

4. Convolution equations with generalized Laguerre polynomial kernels;Buschman;Notices Amer. Math. Soc.,1963

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