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AIMS Mathematics

2020, Volume 5, Issue 5: 4512-4528. doi: 10.3934/math.2020290
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Research article

A sharp double inequality involving generalized complete elliptic integral of the first kind

  • 1.
    Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, P. R. China
  • 2.
    Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China
  • 3.
    Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China
  • Received: 31 March 2020 Accepted: 13 May 2020 Published: 21 May 2020

  • MSC : 33C05, 33E05

  • In the article, we establish a sharp double inequality involving the ratio of generalized complete elliptic integrals of the first kind, which is the improvement and generalization of some previously known results.

    Citation: Tie-Hong Zhao, Miao-Kun Wang, Yu-Ming Chu. A sharp double inequality involving generalized complete elliptic integral of the first kind[J]. AIMS Mathematics, 2020, 5(5): 4512-4528. doi: 10.3934/math.2020290

    Related Papers:

  • In the article, we establish a sharp double inequality involving the ratio of generalized complete elliptic integrals of the first kind, which is the improvement and generalization of some previously known results.


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