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On a generalized L–H transform

Published online by Cambridge University Press:  24 October 2008

V. K. Kapoor  and
S. Masood
V. K. Kapoor
Affiliation:
Banaras Hindu University, India
S. Masood
Affiliation:
Banaras Hindu University, India
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Abstract

The authors, while attempting to give a new generalization of the Laplace transform, have come across a particular function in the form of Meijer's G-function

which, when taken as a nucleus of the transformation K(x) in

defines a new transform. This transform besides serving as a generalization of the Laplace transform and most of its generalizations existing in the literature bears the characteristic property of generalizing the Hankel transform (and hence some of its generalizations) as well. In this paper the authors after having defined the transform have given an inversion theorem which is supported by means of two examples.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 399 - 406
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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