New properties of the lemniscate function and its transformation-Reference-Cited by-同舟云学术

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New properties of the lemniscate function and its transformation

Published:2015-07 Issue:1 Volume:427 Page:460-468
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Nishimura Ryo^ORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference8 articles.

1. Pi and the AGM — A Study in Analytic Number Theory and Computational Complexity;Borwein,1987

2. Algorithms involving arithmetic and geometric means;Carlson;Amer. Math. Monthly,1971

3. Galois Theory;Cox,2012

4. Higher Transcendental Functions. I;Erdelyi,1953

5. Mean iterations derived from transformation formulas for the hypergeometric function;Hattori;Hokkaido Math. J.,2009

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sharp exponential type inequalities for the arc lemniscate sine function with applications;Journal of Mathematical Inequalities;2023

2. Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-10-15

3. Lemniscate-like constants and infinite series;Mathematica Slovaca;2021-08-01

4. Lemniscate of Leaf Function;Computer Modeling in Engineering & Sciences;2021

5. Discrete monotonicity of means and its applications;Proceedings of the American Mathematical Society;2018-01-08

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