On Saigo Fractional q-Calculus of a General Class of q-Polynomials

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