华东师范大学学报(自然科学版) ›› 2008, Vol. 2008 ›› Issue (1): 20-24.

• 数学 统计学 • 上一篇    下一篇

q-微分算子恒等式的应用

房剑平1,2   

  1. 1. 华东师范大学 数学系,上海 200062; 2. 淮阴师范学院 数学系, 江苏 淮安 223300;
  • 收稿日期:2007-05-12 修回日期:2007-07-02 出版日期:2008-01-25 发布日期:2008-01-25
  • 通讯作者: 房剑平

q-Differential operator identity and its applications(Chinese)

FANG Jian-ping1,2   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200062,China; 2. Department of Mathematics, Huaiyin Teachers College, Huaian Jiangsu 223300,China;
  • Received:2007-05-12 Revised:2007-07-02 Online:2008-01-25 Published:2008-01-25
  • Contact: FANG Jian-ping

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摘要： 改进了Rogers算子并应用新算子给出了Sears变换公式的新证明.另外，还给出了AskeyRoy积分公式的几个推广形式.

关键词: q-微分算子, 基本超几何级数, Sears变换, q-微分算子, 基本超几何级数, Sears变换

Abstract: This paper generalized the q-exponential operator defined by Rogers. Then used the new operator to give a proof of Sears′ nonterminating q-series transformation formula. In addition, several extensions of AskeyRoy integral formula were given.

Key words: basic hypergeometric series, Sears′ transformation formula, q-differential operator, basic hypergeometric series, Sears′ transformation formula

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