The present paper incorporates the systematic study of explicit form of generalized polynomial set which is defined by using Rodrigues type of formula during course of finding. Applications of Weyl fractional q-integral operator to various generalized basic hyper geometric functions including the basic analogue of Fox's H-function and some of its elementary properties have been investigated. We establish and derive the certain relations pertaining to the product of Fox's H-functions and general class of polynomials.