New properties of the lemniscate function and its transformation

DOI10.1016/J.JMAA.2015.02.066zbMath1332.33030OpenAlexW2013298850MaRDI QIDQ907739

Ryo Nishimura

Publication date: 26 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.02.066

zbMATH Keywords

hypergeometric seriesinfinite productslemniscate functionmean iteration

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Convergence and divergence of infinite products (40A20)

Related Items (5)

Sharp exponential type inequalities for the arc lemniscate sine function with applications ⋮ Discrete monotonicity of means and its applications ⋮ An infinite product of nested radicals for log x from the Archimedean algorithm ⋮ Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means ⋮ Lemniscate-like constants and infinite series

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