Certain fractional q-integrals and q-derivatives
- 1 September 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 66 (2) , 365-370
- https://doi.org/10.1017/s0305004100045060
Abstract
In a recent paper Al-Salam(1) has denned a fractional q-integral operator by the basic integral (1) Where α ≠ 0, −1, −2, …. Using the series definition of the basic integrals, (1·1) is written as valid for all αKeywords
This publication has 4 references indexed in Scilit:
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- Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐TransformationMathematische Nachrichten, 1949
- Über die höheren Heineschen Reihen und eine einheitliche Theorie der sogenannten speziellen FunktionenMathematische Nachrichten, 1949
- ON FRACTIONAL INTEGRALS AND DERIVATIVESThe Quarterly Journal of Mathematics, 1940