论文信息 - Some Fractional q -Integrals and q -Derivatives

Some Fractional q -Integrals and q -Derivatives

A q -analogue of the integral ∣ f(t)dt is defined by means of which is an inverse of the q –derivative The present author ( 2 ) has recently obtained a q –nalogue of a formula of Cauchy, namely, where, for real or complex α and N a positive integer,

Waleed A. Al-Salam

[1] R. Agarwal,et al. Associated Basic Hypergeometric Series , 1953, Proceedings of the Glasgow Mathematical Association.

[2] W. Hahn. Über die höheren Heineschen Reihen und eine einheitliche Theorie der sogenannten speziellen Funktionen , 1949 .

[3] W. Rheinboldt,et al. Generalized hypergeometric functions , 1968 .

[4] A. Erdélyi,et al. Fractional Integration and Dual Integral Equations , 1962, Canadian Journal of Mathematics.

[5] Waleed A. Al-Salam,et al. $q$-analogues of Cauchy’s formulas , 1966 .