数学物理学报 ›› 2016, Vol. 36 ›› Issue (1): 150-156.

• 论文 • 上一篇    下一篇

双变量超几何级数的变换与简化公式

刘红梅, 周文书, 李阳   

  1. 大连民族大学理学院 辽宁大连 116600
  • 收稿日期:2015-08-20 修回日期:2015-12-20 出版日期:2016-02-25 发布日期:2016-02-25
  • 作者简介:刘红梅,liuhm7911@163.com,liuhm@dlnu.edu.cn
  • 基金资助:

    国家自然科学基金(11501081,11571062,11501080);辽宁省教育厅一般项目(L2013506);辽宁省优秀人才支持计划(LJQ2013124)和中央高校基本科研基金(DC201502050405,DC201502050202,DC201502050406)资助

Transformation and Reduction Formulae for Bivariate Hypergeometric Series

Liu Hongmei, Zhou Wenshu, Li Yang   

  1. School of Science, Dalian Nationalities University, Liaoning Dalian 116600
  • Received:2015-08-20 Revised:2015-12-20 Online:2016-02-25 Published:2016-02-25
  • Supported by:

    Supported by the NSFC (11501081, 11571062, 11501080), the Scientific Research Fund of Liaoning Provincial Education Department (L2013506), the Program for Excellent Talents of Liaoning Provincial (LJQ2013124) and the Fundamental Research Funds for the Central Universities (DC201502050405, DC201502050202, DC201502050406)

摘要:

该文利用两个二次变换公式建立了两个一般的双重超几何级数变换公式,由此推导出若干新的类型为F1:0;μ1:1;λF2:0;μ2:1;λ的双变量超几何级数的简化公式.

关键词: 双变量超几何级数, 简化公式

Abstract:

Two quadratic transformations are applied to establish two general transformation formulae for double hypergeometric series. Further new reduction formulae for the bivariate hypergeometric series of types F1:0;μ1:1;λ and F2:0;μ2:1;λ are given.

Key words: Bivariate Hypergeometric Series, Reduction Formulae

中图分类号: 

  • O174.6