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Some triple equations involving inverse finite Mellin transforms

Published online by Cambridge University Press:  20 January 2009

John Tweed
John Tweed
Affiliation:
University of Glasgow
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In this paper we investigate some triple equations involving the inverse of the finite Mellin transform MR which is defined by the equation

This transformation is one of four which were first introduced by D. Naylor in his paper (1) and some of its properties have been listed by the author in paper (2), where its relationship to the Mellin transform is discussed in detail.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 4 , December 1973 , pp. 317 - 319
Copyright
Copyright © Edinburgh Mathematical Society 1973

References

REFERENCES

(1) Naylor, D., On a Mellin type integral transform, J. Math. Mechs. 12 (1963), 265–274.Google Scholar
(2) Tweed, J., Glasgow Math. J. (to appear).Google Scholar
(3) Tricomi, F. G., Z. Angew. Math. Phys. 2 (1951), 402.CrossRefGoogle Scholar
(4) Palócz, I., The integral equation approach to currents and fields in plane parallel transmission lines, J. Math. Mechs. 15 (1966), 541–559.Google Scholar
(5) Lewin, L., The solution of singular integral equations over a multiple interval and applications to multiple diaphragms in rectangular waveguide, SIAM J. Appl. Math. 16 (1968), 417–438.CrossRefGoogle Scholar