Applications of a generalized q-difference equation

作者：Fang Jian Ping^*

来源：Advances in Difference Equations, 2014, 2014(1): 267.

DOI：10.1186/1687-1847-2014-267

• q-difference equation
• Andrews-Askey integral
• Askey-Wilson integral
• q-exponential operator
• q-polynomials

In this paper, we establish one general q-exponential operator identity by solving one simple q-difference equation. Using this q-difference equation, we get some generalizations of Andrews-Askey and Askey-Wilson integral. In addition, we also discuss some properties of q-polynomials H-n.

• 出版日期2014-10-14
• 单位淮阴师范学院