Applications of q-Difference Equation and q-Operator _r Φ_s (θ) in q-Polynomials

Authors

DOI:

https://doi.org/10.24996/ijs.2024.65.3.24

Keywords:

generalized q-difference equation, generalized q-polynomials, generating function, Rogers formula, Srivastava-Agarwal type generating function

Abstract

     We provide a q-operator form solution to a generalized q-difference equation involving (r+s+2)-variables. We introduce a q-polynomials Ψ_n^((A,B)) (x,y,c|q). The generating function, two Rogers formulas, and two types of Srivastava-Agarwal generating functions for the polynomials Ψ_n^((A,B)) (x,y,c|q) are established using the q-difference equation technique.

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Published

2024-03-29

Issue

Section

Mathematics

How to Cite

Applications of q-Difference Equation and q-Operator _r Φ_s (θ) in q-Polynomials. (2024). Iraqi Journal of Science, 65(3), 1459-1475. https://doi.org/10.24996/ijs.2024.65.3.24

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