A note on generalized q-difference equations for general Al-Salam-Carlitz polynomials

被引：7
|
作者：
Cao, Jian [1 ]
Xu, Binbin [1 ]
Arjika, Sama [2 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Zhejiang, Peoples R China
[2] Univ Agadez, Dept Math & Informat, Agadez, Niger
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
q-Difference equation; q-Difference operator; Al-Salam-Carlitz polynomials; Generating functions; Ramanujan's integral;
D O I：
10.1186/s13662-020-03133-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deduce the generalized q-difference equations for general Al-Salam-Carlitz polynomials and generalize Arjika's recent results (Arjika in J. Differ. Equ. Appl. 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.
引用
收藏
页数：17
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