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双参数有限q指数算子及其应用
  • 期刊名称：数学学报中文版, 53.5(2010): 1007-1018
  • 时间：0
  • 分类：O157.1[理学—数学;理学—基础数学]
  • 作者机构：[1]洛阳师范学院数学科学学院,洛阳471022
  • 相关基金：国家自然科学基金资助项目（10771093）
  • 相关项目：组合计数与q-级数及其研究
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
中文摘要：

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．

英文摘要：

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.

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组合计数与q-级数及其研究
期刊论文 32
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