q-Difference equation and q-polynomials

作者：

Highlights：

• We establish one general q-exponential operator.

• We give one general q-difference equation.

• Relationship between q-exponential operator and q-difference equation are given.

• Using q-difference equation to set up a q-polynomials Hn.

• Some generating functions for Hn are obtained.

摘要

•We establish one general q-exponential operator.•We give one general q-difference equation.•Relationship between q-exponential operator and q-difference equation are given.•Using q-difference equation to set up a q-polynomials Hn.•Some generating functions for Hn are obtained.

论文关键词：q-Difference equation,q-Exponential operator,q-Polynomials

论文评审过程：Available online 29 October 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.10.010