Abel's Functional Equation and Interrelations

Fuente: arXiv
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1. Verfasser: Finch, Steven
Format: Preprint
Veröffentlicht: 2025
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author Finch, Steven
author_facet Finch, Steven
contents 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.]
format Preprint
id arxiv_https___arxiv_org_abs_2503_00579
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Abel's Functional Equation and Interrelations
Finch, Steven
Classical Analysis and ODEs
Discrete Mathematics
Combinatorics
Number Theory
39B22 (Primary) 11B37, 26A18, 39-08, 41A60, 65D20 (Secondary)
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.]
title Abel's Functional Equation and Interrelations
topic Classical Analysis and ODEs
Discrete Mathematics
Combinatorics
Number Theory
39B22 (Primary) 11B37, 26A18, 39-08, 41A60, 65D20 (Secondary)
url https://arxiv.org/abs/2503.00579