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On a generalized Stieltjes transform

Published online by Cambridge University Press:  24 October 2008

V. K. Kapoor
V. K. Kapoor
Affiliation:
Department of Mathematics, Banaras Hindu University, Varanasi (U.P.), India
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Abstract

The Stieltjes transform is a consequence of the iteration of two Laplace transforms, namely if

then is referred to as the Stieltjes transform of g(t).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 407 - 412
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)ErdÉlyi, A.Higher transcendental functions, vol. I (New York, 1953).Google Scholar
(2)ErdÉlyi, A.Tables of integral transforms, vol. II (New York, 1954).Google Scholar
(3)Kapoor, V. K. A generalisation of the Laplace transform (in the Press).Google Scholar
(4)Mukherjee, S. N. Thesis on ‘A study of a generalisation of the Laplace transform’ approved for Ph.D. degree of the Banaras Hindu University in the year 1964.Google Scholar
(5)Titchmarsh, E. C.Introduction to the theory of Fourier integral (Oxford, 1937).Google Scholar
(6)Varma, R. S.On a generalisation of Laplace integral. Proc. Nat. Acad. Sci. India, Sect. A 20 (1951), 209–216.Google Scholar