Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (5): 1440-1450.doi: 10.1007/s10473-019-0520-z

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MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS

Miaokun WANG1, Wen ZHANG2, Yuming CHU3   

  1. 1. Department of Mathematics, Huzhou University, Huzhou 313000, China;
    2. Friedman Brain Institute, Icahn School of Medicine at Mount Sinai, New York, NY 10029, USA;
    3. College of Science, Hunan City University, Yiyang 313000, China
  • Received:2016-03-29 Revised:2019-01-03 Online:2019-10-25 Published:2019-11-11
  • Contact: Yuming CHU E-mail:chuyuming@zjhu.edu.cn
  • Supported by:
    This research was supported by the Natural Science Foundation of China (11701176, 61673169, 11301127, 11626101, 11601485), and the Science and Technology Research Program of Zhejiang Educational Committee (Y201635325).

Abstract: We establish the monotonicity and convexity properties for several special functions involving the generalized elliptic integrals, and present some new analytic inequalities.

Key words: Gaussian hypergeometric function, generalized elliptic integrals, convexity, inequality

CLC Number: 

  • 33E05
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