论文标题
有关广义$ q $ - 差方程及其涉及$ q $ - hyperemetric函数的注释
A Note on Generalized $q$-Difference Equations and Their Applications Involving $q$-Hypergeometric Functions
论文作者
论文摘要
在本文中，我们使用两个$ q $ - 手机$ \ mathbb {t}（a，b，c，c，d，e，yd_x）$和$ \ m m缩通过$ q $ - 差异方程式，公式和安德鲁斯 - 阿斯基积分的两个新概括。我们还简要描述了各种特殊情况的相关连接以及我们主要结果的后果，并通过许多已知的结果。
In this paper, we use two $q$-operators $\mathbb{T}(a,b,c,d,e,yD_x)$ and $\mathbb{E}(a,b,c,d,e,yθ_x)$ to derive two potentially useful generalizations of the $q$-binomial theorem, a set of two extensions of the $q$-Chu-Vandermonde summation formula and two new generalizations of the Andrews-Askey integral by means of the $q$-difference equations. We also briefly describe relevant connections of various special cases and consequences of our main results with a number of known results.
