A useful inequality of inverse hyperbolic tangent

2023/05/26 by Kunal Marwaha, Marwaha, Kunal
Mathematics · #Mathematics and Applications #Analytic Number Theory Research #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2305.18348

Abstract

We prove an inequality related to arctanh, resolving a conjecture of Gu and Polyanskiy [arXiv:2303.14689].

Related

• A sharp inequality involving hyperbolic and inverse hyperbolic functions
• On the higher derivates of arctan
• On the conjecture of generalized trigonometric and hyperbolic functions
• A Generalization of the arctg function
• On a Conjecture Concerning the Approximates of Complete Elliptic Integral of the First Kind by Inverse Hyperbolic Tangent