An integral equation involving the confluent hypergeometric function of several complex variables

In the present note the author establishes an inversion theorem for a convolution transform whose kernel involves a confluent hypergeometric function of several complex variables. It is shown how the main result can be specialized to solve a number of integral equations involving special functions o...

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Bibliographic Details
Published in:Applicable analysis Vol. 5; no. 4; pp. 251 - 256
Main Author: Srivastava, H. M.
Format: Journal Article
Language:English
Published: Gordon and Breach Science Publishers Ltd 01.01.1976
ISSN:0003-6811, 1563-504X
Online Access:Get full text
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Summary:In the present note the author establishes an inversion theorem for a convolution transform whose kernel involves a confluent hypergeometric function of several complex variables. It is shown how the main result can be specialized to solve a number of integral equations involving special functions of interest in applied problems. An extension of the method to a general class of integral equations is also considered.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036817608839128