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Convexity and monotonicity for elliptic integrals of the first kind and applications

Authors :
Jing-Feng Tian
Zhen-Hang Yang
Source :
Applicable Analysis and Discrete Mathematics. 13:240-260
Publication Year :
2019
Publisher :
National Library of Serbia, 2019.

Abstract

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.

Details

ISSN :
2406100X and 14528630
Volume :
13
Database :
OpenAIRE
Journal :
Applicable Analysis and Discrete Mathematics
Accession number :
edsair.doi...........11b2f29da0f896854997cfa4e465db4b
Full Text :
https://doi.org/10.2298/aadm171015001y