摘要
利用新型q-指数算子恒等式推广得到了两个含有五元参数的q-差分方程,并且利用这两个差分方程重新给出了q-beta积分的Ramanujan’s形式,推广了Andrews-Askey积分,得到了Al-Salam-Carlitz多项式生成函数.
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.
作者
许敏
曹健
XU Min;CAO Jian(School of Science, Hangzhou Normal University, Hangzhou 310036, China)
出处
《杭州师范大学学报（自然科学版）》
CAS
2018年第1期99-107,共9页
Journal of Hangzhou Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11501155)
