Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (1): 46-53.

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Two Inequalities Related to Generalized Elliptic Integrals

Yin Li, Huang Liguo   

  1. Department of Mathematics, Binzhou University, Shandong Binzhou 256600
  • Received:2016-07-10 Revised:2017-05-20 Online:2018-02-26 Published:2018-02-26
  • Supported by:
    Supported by the NSFC (11401041), the Science and the Technology Project of Shandong Province (J16li52) and the PhD Research Capital of Binzhou University (2013Y02)

Abstract: In this paper, the authors mainly study monotonicity and convexity of the function Δp (r) where Kp and Ep denote the generalized elliptic integrals of the first and second kinds, respectively. Hence, we give two new inequalities.

Key words: Inequalities, Generalized elliptic integrals, Hypergeometric function, Monotonicity, Convexity

CLC Number: 

  • O178
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