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

Faiz A. Reshem; Husam L. Saad

doi:10.24996/ijs.2024.65.3.24

Authors

Faiz A. Reshem Department of Mathematics, College of Science, Basrah University, Basrah, Iraq https://orcid.org/0000-0003-1403-7800
Husam L. Saad Department of Mathematics, College of Science, Basrah University, Basrah, Iraq https://orcid.org/0000-0001-8923-4759

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

Vol 65 No 3 (2024)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]

F. A. Reshem and H. L. Saad, “Applications of q-Difference Equation and q-Operator _r Φ_s (θ) in q-Polynomials”, Iraqi Journal of Science, vol. 65, no. 3, pp. 1459–1475, Mar. 2024, doi: 10.24996/ijs.2024.65.3.24.