Fractional Derivatives and Summation

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Authors

  • Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi ,IN
  • Department of Mathematics, Ife University, Ibadan ,NG

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.

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Published

1974-12-01

How to Cite

Manocha, H. L., & Sharma, B. L. (1974). Fractional Derivatives and Summation. The Journal of the Indian Mathematical Society, 38(1-4), 371–382. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16714

 

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.