Composition Formula for Saigo Fractional q-Calculus Operator for the q-Analogue of the H-Function

Arti Sharma, Vijay Kumar Vyas and Biniyam Shimelis

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-9

Abstract: The purpose of this paper is to investigate key properties of Saigo’s fractional q-integral and q-derivative operators involving the q-analogue of Fox’s H-function. We establish four main theorems describing the action of Saigo-type fractional q-operators on generalised power functions expressed in terms of the q-Fox H-function. Several special cases and limiting forms that arise naturally from these results are also discussed.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9544026

DOI: 10.1155/ijmm/9544026

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