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Journal of inequalities and applications
2017;2017 (1): 278.

Monotonicity, convexity, and inequalities for the generalized elliptic integrals.

Tiren Huang, Shenyang Tan, Xiaohui Zhang
Author Information
  1. Tiren Huang: Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018 China.
  2. Shenyang Tan: Taizhou Institute of Sci. & Tech., NUST, Taizhou, 225300 China.
  3. Xiaohui Zhang: Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018 China.
PMID: 29170610 DOI: 10.1186/s13660-017-1556-z

Abstract

We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals [Formula: see text] and [Formula: see text] depending on a parameter [Formula: see text], which contains an earlier result in the particular case [Formula: see text].

Keywords

Gaussian hypergeometric function convexity generalized elliptic integrals of the first and second kinds inequality monotonicity
Journal Article

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Created with Highcharts 10.0.0[Formula:seetext]convexitygeneralizedellipticintegralsmonotonicityprovidepropertiessharpboundsdependingparametercontainsearlierresultparticularcaseMonotonicityinequalitiesGaussianhypergeometricfunctionfirstsecondkindsinequality

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