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Summation of infinite series

Published online by Cambridge University Press:  09 April 2009

H. L. Manocha
Affiliation:
Department of Applied Sciences Punjab Engineering College Chandigarh, India
B. L. Sharma
Affiliation:
Department of Applied Sciences Punjab Engineering College Chandigarh, India
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Abstract

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In this paper we obtain the sum of some infinite series involving hypergeometric functions of one or more variables.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]Appell, P. and Kamp de Feriet, J., Fonclions hypergéometriques et hypersphériques, poly. nomes d'Hermite, Gauthier-Villars, Paris (1926).Google Scholar
[2]Carlitz, L., ‘A note on the Laguerre polynomials’, Michigan Mathematical Journal. 7 (1960), 219223.CrossRefGoogle Scholar
[3]Erdlyi, A., ‘On fractional integration and also its application to the theory of Hankel transform’. Quart. J. Math. (Oxford) 11 (1940). 292303.Google Scholar
[4]Erdélyi, A., Higher transcendental functions, Vol I (1953).Google Scholar
[5]Halim, N. A. and Al-Salam, W. A., ‘Double Euler transformations of certain hypergeometric functions’, Duke Jour. Maths. 30 (1963), 5162.Google Scholar
[6]Rainville, E. D., Special functions, New York (1960).Google Scholar