论文标题
一般al-salam-carlitz多项式的通用$ q $ -Difference方程的注释
A note on generalized $q$-difference equations for general Al-Salam--Carlitz polynomials
论文作者
论文摘要
在本文中，我们推论了一般al-salam- carlitz多项式的广义$ q $ - 差异方程，并概括了Arjika的最近结果[$ q $ -Difference方程的均质$ q $ -Difference Operators及其应用程序及其应用。等。应用。 {\ bf 26}，987--999（2020）]。此外，我们通过$ q $ - 差异方程的方法获得转换身份。此外，我们推断出$ u（n+1）$类型生成函数和Ramanujan的积分，涉及一般的Al-Salam--Carlitz多项式通过$ q $ -Difference方程。
In this paper, we deduce the generalized $q$-difference equations for general Al-Salam--Carlitz polynomials and generalize Arjika's recently results [$q$-difference equation for homogeneous $q$-difference operators and their applications, J. Differ. Equ. Appl. {\bf 26}, 987--999 (2020)]. In addition, we obtain transformational identities by the method of $q$-difference equation. Moreover, we deduce $U(n+1)$ type generating functions and Ramanujan's integrals involving general Al-Salam--Carlitz polynomials by $q$-difference equation.
