A Generalization of the arctg function

2015/07/03 by Juan Pla, Pla, Juan
Mathematics · #26B15 #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications #math.CA #msc:26B15

paper · pdf · doi:10.48550/arxiv.1507.06640

arxiv created 2015/07/03 · openalex publication_date 2015/07/03 · arxiv updated 2015/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we define a family of continuous functions of an arbitrary number of variables, and prove that they all satisfy a generalization of one of the classical functional equations of the inverse tangent function.

Related

• On the higher derivates of arctan
• A useful inequality of inverse hyperbolic tangent
• On the higher derivatives of the inverse tangent function
• A simple identity for derivatives of the arctangent function
• GG-functions and their relations to A-hypergeometric functions