Fractional Derivatives and Summation
Authors
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Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi ,IN
H. L. Manocha -
Department of Mathematics, Ife University, Ibadan ,NGB. L. Sharma
Abstract
In this paper we prove a theorem about the fractional derivative of the product of two functions, and use this theorem to obtain some formulae, and some new derivations of known formulae.Downloads
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Copyright (c) 1974 H. L. Manocha, B. L. Sharma
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
BROMWICH, T. J. I. A., An introduction to the theory of infinite series Macmillan, 1959.
ERDELYI, A., "Transformation of hypergeometric integrals by means of fractional integration by parts" Quart. J. Math. Oxford Ser. 10, (1939) 176-189.
ERDELYI, A., Higher transcendental functions. Vol. I. 1953.
MANOCHA, H. L. AND SHARMA, B. L., "Infinite series of hypergeometric function" Annates de Societe' Scientifique de Bruxelles, T. 80, I, (1966) 73-86.
RAINVILLE, R. D., Special Functions, New York (1960).
WEBER, MARIA AND ERDELYI, A., "On the finite difference analogue of Rodrigue's formula". Math. Monthly, 59, (1952), 163-168.
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