杭州师范大学学报（自然科学版）2017，Vol.16Issue(2)：187-194,8.DOI:10.3969/j.issn.1674-232X.2017.02.012
若干q-差分方程的形式解及其应用
Some Formal Solutions of q-difference Equation and their Applications
刘富裕 1许敏 1曹健1
作者信息
- 1. 杭州师范大学理学院,浙江 杭州 310036
- 折叠
摘要
Abstract
With the rapid development of nonlinear mathematics and quantum mathematics,in the combinatorial mathematics,the complexity of integral operation and the finiteness of summation formula are the important factors which restrict the progress of researches.This paper constructs the q-difference equation with q-exponential operator as the formal solution,and uses the formal solution way of q-difference equation to generalize Sears formula,Al-Salam-Carlitz polynomial generating functions,Andrews-Askey integral,q-Chu-Vandermonde formula,etc.关键词
q-指数算子/q-差分方程/Andrews-Askey积分/q-Chu-Vandermonde公式/Sears公式Key words
q-exponential operator/q-difference equation/Andrews-Askey integrator/q-Chu-Vandermonde formula/Sears formula分类
数理科学引用本文复制引用
刘富裕,许敏,曹健..若干q-差分方程的形式解及其应用[J].杭州师范大学学报（自然科学版）,2017,16(2):187-194,8.
