Some Fractional q-Integrals and q-Derivatives
- 1 December 1966
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 15 (2) , 135-140
- https://doi.org/10.1017/s0013091500011469
Abstract
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,Keywords
This publication has 4 references indexed in Scilit:
- q-Analogues of Cauchy's FormulasProceedings of the American Mathematical Society, 1966
- Fractional Integration and Dual Integral EquationsCanadian Journal of Mathematics, 1962
- Associated Basic Hypergeometric SeriesProceedings of the Glasgow Mathematical Association, 1953
- Über die höheren Heineschen Reihen und eine einheitliche Theorie der sogenannten speziellen FunktionenMathematische Nachrichten, 1949