Document Type : Research Paper
Authors
Department of Mathematics, College of Natural Science, Wollo University, P.O. Box 1145, Dessie, Ethiopia.
Abstract
In this paper, we derive Saigo fractional $q$-integrals of the general class of $q$-polynomials and demonstrate their application by investigating $q$-Konhouser biorthogonal polynomial, $q$-Jacobi polynomials and basic analogue of the Kamp$\acute{e}$ de F$\acute{e}$riet function. We have also derived polynomials as a specific example of our significant findings.
Keywords
- Saigo fractional $q$-integral operators
- General class of $q$-polynomials
- $q$-Jacobi polynomials
- $q$-Konhouser polynomials
- $q$-Kampe de Feriet function
Main Subjects
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