A best possible upper bound for the complete elliptic integral of the first kind

DOI10.36045/j.bbms.230228OpenAlexW4386999766MaRDI QIDQ6179256

Lanxiang Yu, Jing-Feng Tian, Jun-Yi Li, Zhong-Xuan Mao

Publication date: 16 January 2024

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-30/issue-2/A-best-possible-upper-bound-for-the-complete-elliptic-integral/10.36045/j.bbms.230228.full

zbMATH Keywords

inequalitylogarithmic meaninverse hyperbolic tangent functionAGM meancomplete integral of the first kindNP-type power series

Mathematics Subject Classification ID

Means (26E60) Elliptic functions and integrals (33E05)

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