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On Maitland's Generalised Bessel Function

Published online by Cambridge University Press:  20 November 2018

T.N. Srivastava  and
Y.P. Singh
T.N. Srivastava
Affiliation:
Case Western University, Cleveland, Ohio
Y.P. Singh
Affiliation:
Case Western University, Cleveland, Ohio
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Maitland's generalised Bessel function [4] is defined by the equation

where u is real and positive and v is any number real or complex. If u = 1, then (1.1) reduces to the form

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 5 , December 1968 , pp. 739 - 741
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Bushman, R.G., An inversion integral for a Legendre function. Amer. Math. Monthly 69 (1962) 288-289.Google Scholar
2. Erdelyi, A., Tables of integral transform, Vol. 1 (McGraw Hill, 1954.)Google Scholar
3. Widder, D.V., The inversion of a convolution transform whose kernel is a Laguerre polynomial. Amer. Math. Monthly 70(1963) 291-295.Google Scholar
4. Wright, E.M., The generalised Bessel function. Proc. London Math. Soc. 38 (1935) 257-270.Google Scholar