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Journal of inequalities and applications
2018;2018 (1): 239.

Monotonicity properties and bounds for the complete -elliptic integrals.

Ti-Ren Huang, Shen-Yang Tan, Xiao-Yan Ma, Yu-Ming Chu
Author Information
  1. Ti-Ren Huang: 1Department of Mathematics, Zhejiang Sci-Tech Universityu, Hangzhou, China.
  2. Shen-Yang Tan: 2Taizhou Institute of Science and Technology, Nanjing University of Science and Technology, Taizhou, China.
  3. Xiao-Yan Ma: 1Department of Mathematics, Zhejiang Sci-Tech Universityu, Hangzhou, China.
  4. Yu-Ming Chu: 3Department of Mathematics, Huzhou University, Huzhou, China.
PMID: 30839616 DOI: 10.1186/s13660-018-1828-2

Abstract

We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete -elliptic integrals.

Keywords

Complete elliptic integral Complete p-elliptic integral Convexity Gaussian hypergeometric function Monotonicity

References

  1. J Inequal Appl. 2017;2017(1):274 [PMID: 29151708]
  2. J Inequal Appl. 2017;2017(1):278 [PMID: 29170610]
Journal Article

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Created with Highcharts 10.0.0completeintegralspropertieselliptic-ellipticMonotonicityCompleteintegralgeneralizeseveralmonotonicityconvexitywellsharpinequalitiesboundsp-ellipticConvexityGaussianhypergeometricfunction

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