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

页数：17

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