An inversion formula for the generalised Laplace transform

Varma, R. S. (1949) An inversion formula for the generalised Laplace transform Proceedings of the Edinburgh Mathematical Society, 8 (03). pp. 126-127. ISSN 0013-0915

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Related URL: http://dx.doi.org/10.1017/S0013091500002662

Abstract

Recently I have given a generalisation of the Laplace integral Φ (8)= ∫ 0 e -mƒ(t)dt (1) in the form Φ km (s)= ∫ 0 (2st) -1/4 W k,m(2st)f(t)dt (2) where W k, m (x) stands for Whittaker Functions.

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