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Two singular integral equations involving confluent hypergeometric functions

Published online by Cambridge University Press:  24 October 2008

Tilak Raj Prabhakar
Tilak Raj Prabhakar
Affiliation:
Ramjas College, University of Delhi
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Extract

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).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 71 - 89
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

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