Composition Formula for Saigo Fractional q ‐Calculus Operator for the q ‐Analogue of the H‐Function
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.
Fields of Study & Subjects
Mathematical functions and polynomials
Mathematical Inequalities and Applications
Fractional Differential Equations Solutions
Publication details
- Journal / source
- International Journal of Mathematics and Mathematical Sciences
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN