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Some formulae for Appell functions

Published online by Cambridge University Press:  24 October 2008

B. L. Sharma
Affiliation:
Department of Mathematics, University of Ife, Ile-Ife, Western Nigeria

Extract

1. Introduction. The object of this paper is to obtain some generating functions for Appell functions with the help of fractional derivatives. The results are general in character and include as particular cases some of the results given earlier by Mexiner (3) and the author (4, 5, 6).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Appell, , Paul, and Kampé de Feriet, M. J.Functions Hypergeometriques et Hyperspheri-ques. Polynomes d'Hermit (Gauthier-Villars, 1926).Google Scholar
(2)Erdélyi, A.On fractional integration and its application to the theory of Hankel transforms. Quart. J. Math. Oxford, 11 (1940), 293303.Google Scholar
(3)Erdélyi, A.Higher transcendental functions, vol. I (New York, 1953).Google Scholar
(4)Manocha, H. L. and Sharma, B. L.Infinite Series of Hypergeometric Functions. Ann. Soc. Sci. Bruxelles. Sér. I. 80 (1966), 7386.Google Scholar
(5)Manocha, H. L. and Sharma, B. L.Some formulae for Jacobi polynomials. Proc. Cambridge Philos. Soc. 62 (1966), 459462.Google Scholar
(6)Manocha, H. L. and Sharma, B. L.Summation of infinite series. J. Austral. Math. Soc. 4 (1966), 470476.CrossRefGoogle Scholar
(7)Rainville, E. D.Special functions (New York, 1960).Google Scholar
(8)Saran, S.Hypergeometric functions of three variables. Ganita. 2 (1954), 7791.Google Scholar