Abel's Functional Equation and Interrelations

Convex solutions $A,B,I,J$ of four Abel equations are numerically studied. We do not know exact formulas for any of these functions, but conjecture that $A,B$ and $I,J$ are closely related. [Corrigendum at end.]

Publication Details

Journal
ArXiv.org
Published
2025-03-01
Primary Topic
Functional Equations Stability Results
Type
article
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article

Abel's Functional Equation and Interrelations

ArXiv.org
Functional Equations Stability Results
article

Abel's Functional Equation and Interrelations

article en

Abstract

Convex solutions $A,B,I,J$ of four Abel equations are numerically studied. We do not know exact formulas for any of these functions, but conjecture that $A,B$ and $I,J$ are closely related. [Corrigendum at end.]

ArXiv.org
Openalex Percentile: Top 40%
Functional Equations Stability Results
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Abel's Functional Equation and Interrelations · ArXiv.org (2025) | TGRS Research Map | TGRS