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A formal solution of certain dual integral equations involving H-functions

Published online by Cambridge University Press:  24 October 2008

R. K. Saxena
R. K. Saxena
Affiliation:
McGill University, Montreal, Canada†
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Abstract

The problem discussed is the formal solution of certain dual integral equations involving H-functions. The method followed is that of fractional integration. The given dual integral equations have been transformed, by the application of fractional integration operators, into two others with a common kernel and the problem is then reduced to solving one integral equation. In the first case the common kernel comes out to be a symmetrical Fourier kernel given earlier by Fox and the formal solution is then immediate. In the second case the common kernel is a generalized Fourier kernel and dual integral equations of this type have recently been studied by Fox.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 171 - 178
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

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