杭州师范大学学报（自然科学版）2018，Vol.17Issue(1)：99-107,9.DOI:10.3969/j.issn.1674-232X.2018.01.021
q-差分方程推广及其应用
Generalization and Applications of q-Difference Equation
摘要
Abstract
In this paper,two q-difference equations with five-variables are deduced by q-exponential operator identities, Then the Ramanujan's formulas for q-beta integrals are given,Andrews-Askey integrals are generalized,and the generating functions for generalized Al-Salam-Carlitz polynomials are obtained by the method of q-difference equation.关键词
q-差分方程/q-指数算子/Andrews-Askey积分/Ramanujan's q-beta积分/Al-Salam-Carlitz多项式/生成函数Key words
q-difference equation/q-exponential operator/Andrews-Askey integrals/Ramanujan's q-beta integrals/Al-Salam-Carlitz polynomials/generating function分类
数理科学引用本文复制引用
许敏,曹健..q-差分方程推广及其应用[J].杭州师范大学学报（自然科学版）,2018,17(1):99-107,9.基金项目
国家自然科学基金项目(11501155). （11501155）
