The aim of this paper is to derive an integral pertaining to a product of Fox's $ H $-function [1], general polynomials given by Srivastava [6, p.185, Eq.(7)] and $ H $-function of several complex variables given by Srivastava and Panda [7, p.271, Eq. (4.1)] with general arguments of quadratic nature. The integral thus obtained is believed to be one of the most general integral established so far. The findings of this paper are sufficiently general in nature and are capable of yielding numerous (known or new) results involving classical orthogonal polynomials hitherto scattered in the literature.
The object of present paper is to establish an integral pertaining to a product of Fox's H-function, general polynomials given by Srivastava and H-function of several complex variables given by Srivastava andPanda with general arguments of quadratic nature.
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.
In this paper we introduce Differential subordination with Hadamard Product (Convolution) of Generalized k-Mittag-Leffler function and A Class of Function in the Open Unit Disk ⅅ= ∈ ℂ ∶ < 1 , Which are expressed in terms of the A Class of Function. Some interesting special cases of our main results are also considered.
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