A note on Discrete q-Modified Hermite polynomials of Type-I

Abstract

In this study’s article, we define discrete q-Modified Hermite polynomials and investigate their various vital houses. Right here we describe the discrete q-Modified Hermite polynomials by way of producing functions by way of which we will compare the alternative homes consisting of, explicit expression, recurrence relations, and three terms recurrence members of the family for those polynomials are given. Furthermore, Rodrigues-type formulation for the discrete q-Modified Hermite polynomials is mentioned which may be used for the orthogonality of discrete q-Modified Hermite polynomials.