摘要
本文构造两个双参数有限q指数算子,得到了几个算子恒等式;应用这些算子恒等式到著名的q-Chu-Vandermonde求和恒等式,求导了若干奇异的q-级数恒等式,包含著名的Jackson恒等式的一个推广.
The purpose of this paper is to construct two new finite q-exponential operators with two parameters and obtain several operator identities. Applying these operator identities to q-Chu-Vandermonde summation, we derive several curious q- series identities involving a generalization of Jackson's transformation.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2010年第5期1007-1018,共12页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(10771093)
关键词
q级数
q-指数算子
求和公式及变换公式
q-series
q-exponential operator
summation formula and transformation formula