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Some dual integral equations involving inverse finite Mellin transforms

Published online by Cambridge University Press:  18 May 2009

John Tweed
John Tweed
Affiliation:
University of Glasgow, Glasgow G12 8QQ
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The object of this paper is to find the solutions of some dual equations involving the inverses of certain Mellin type transforms that were first introduced by D. Naylor in his paper [1]. Because these transforms are relatively unknown we shall begin by defining them and making a note of some of their properties. The main result is contained in the following theorem.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 14 , Issue 2 , September 1973 , pp. 179 - 184
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973

References

REFERENCES

1.Naylor, D., On a Mellin type of integral transform, J. Math. Mech. 12 (1963), 265–274.Google Scholar
2.Titchmarsh, E. C., Theory of Fourier Integrals (Oxford, 1937).Google Scholar
3.Tricomi, F. A., On the finite Hilbert transformation, Quart. J. Math. Oxford Ser. (2) 2 (1951), 199–211.CrossRefGoogle Scholar