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Some generalizations of the Hadamard expansion for the modified Bessel function

โœ Scribed by S Yang; H.M Srivastava

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
231 KB
Volume
17
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

A remarkable result (which is of considerable theoretical importance) is the celebrated Hadamard expansion for the modified Bessel function Iv(z) in a (convergent) series of the incomplete Gamma function -y(~, z). The main object of the present paper is to show how readily this Hadamard expansion can be deduced by suitably specializing much more general bilateral expansions associated with multivariable hypergeometric functions. Several other closely related results are also considered briefly. (~) 2004 Elsevier Ltd. All rights reserved.

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