q 微分方程和 q 运算器 _r Φ_s (θ) 在 q 多项式中的应用

Q4 Earth and Planetary Sciences

Iraqi Journal of Science Pub Date : 2024-03-29 DOI:10.24996/ijs.2024.65.3.24

Faiz A. Reshem, Husam L. Saad

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引用次数: 1

摘要

我们为涉及 (r+s+2) 变量的广义 q 差分方程提供了 q 运算形式的解。我们引入了 q 多项式 Ψ_n^((A,B)) (x,y,c|q)。利用 q 差分方程技术建立了多项式 Ψ_n^((A,B)) (x,y,c|q) 的生成函数、两个罗杰斯公式和两种 Srivastava-Agarwal 生成函数。

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

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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来源期刊

Iraqi Journal of Science Chemistry-Chemistry (all)

CiteScore

1.50

自引率

0.00%

发文量

241