CONVEXITY AND MONOTONICITY FOR ELLIPTIC INTEGRALS OF THE FIRST KIND AND APPLICATIONS

In the paper, by virtue of two new tools, the authors present the monotonicity and convexity of certain combinations of the complete elliptic integrals of the first kind, and obtain new sharp bounds and inequalities for them.

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Bibliographic Details
Published inApplicable analysis and discrete mathematics Vol. 13; no. 1; pp. 240 - 260
Main Authors Yang, Zhen-Hang, Tian, Jing-Feng
Format Journal Article
LanguageEnglish
Published University of Belgrade, Serbia 01.04.2019
Subjects
Convexity
Elliptic functions
Hypergeometric functions
Mathematical inequalities
Mathematical theorems
Prisoners of war
Special functions
Online AccessGet full text
ISSN1452-8630
2406-100X
2406-100X
DOI10.2298/AADM171015001Y

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Summary:In the paper, by virtue of two new tools, the authors present the monotonicity and convexity of certain combinations of the complete elliptic integrals of the first kind, and obtain new sharp bounds and inequalities for them.
ISSN:1452-8630
2406-100X
2406-100X
DOI:10.2298/AADM171015001Y