Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (1): 150-156.

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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)

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

CLC Number: 

  • O174.6
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