Summation Formulas Obtained by Means of the Generalized Chain Rule for Fractional Derivatives
Keyword(s):
In 1970, several interesting new summation formulas were obtained by using a generalized chain rule for fractional derivatives. The main object of this paper is to obtain a presumably new general formula. Many special cases involving special functions of mathematical physics such as the generalized hypergeometric functions, the Appell F1 function, and the Lauricella functions of several variables FD(n) are given.
1994 ◽
Vol 184
(3)
◽
pp. 560-572
◽
2011 ◽
Vol 2011
◽
pp. 1-19
◽
1985 ◽
Vol 27
(1)
◽
pp. 111-124
1992 ◽
Vol 44
(6)
◽
pp. 1317-1338
◽