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An Inversion Formula for the Generalised Laplace Transform

Published online by Cambridge University Press:  20 January 2009

R. S. Varma
R. S. Varma
Affiliation:
The University, Lucknow, India.
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Recently I have given a generalisation of the Laplace integral

in the form

where Wk, m (x) stands for Whittaker Functions.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 8 , Issue 3 , December 1949 , pp. 126 - 127
Copyright
Copyright © Edinburgh Mathematical Society 1949

References

page 126 note 1 Varma, R. S.: “A generalisation of Laplace's transform,” Current Science (Bangalore, India), 16, (01., 1947), 17–18Google Scholar. The results of this paper were first communicated by me at the Indian Science Congress, Nagpur (1945).

page 126 note 2 Cf. Titchmarsh, , Introduction to the theory of Fourier integrals, (Oxford, 1937), 316, (11.6.5).Google Scholar

page 127 note 1 Cf. Titchmarsh, , op. cit., 316, (11.7.2).Google Scholar