4.6 Article

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

Journal

AIMS MATHEMATICS
Volume 5, Issue 5, Pages 4512-4528

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2020290

Keywords

Gaussian hypergeometric function; generalized elliptic integral; gamma function; psi function

Funding

  1. National Natural Science Foundation of China [11971142, 11871202, 61673169, 11701176, 11626101, 11601485]
  2. Natural Science Foundation of Zhejiang Province [LY19A010012]

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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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