Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (4): 999-1007.

• Articles • Previous Articles     Next Articles

A Class of Quadratic Transformation Inequalities for Zero-Balanced Hypergeometric Functions

 WANG Miao-Kun1, CHU Yu-Ming2, JIANG Yue-Ping1, YAN Dan-Dan1   

  1. 1.College of Mathematics and Econometrics|Hunan University, Changsha 410082;
    2.Department of Mathematics, Huzhou Teachers College, Zhejiang Huzhou 313000
  • Received:2012-11-29 Revised:2013-10-21 Online:2014-08-25 Published:2014-08-25
  • Supported by:

    国家自然科学基金(61374086, 11171307)和湖南省博士研究生创新基金(CX2012B153)资助.

Abstract:

In this paper, a class of quadratic transformation inequalities for zero-balanced Gaussian hypergeometric function
F(a, b; a+b; x) with a, b>0 are presented.

Key words: Gaussian hypergeometric function, Quadratic transformation, Inequality

CLC Number: 

  • 33C05
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