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On the functional equation f(αx+β)=f(x).

Authors :
Bekker, Boris
Podkopaev, Oleg
Source :
Aequationes Mathematicae. Apr2022, Vol. 96 Issue 2, p349-360. 12p.
Publication Year :
2022

Abstract

The aim of this paper is to fill in the gaps in the formulation and the proof of a theorem contained in the paper by K.Ozeki (Aequ Math 25:247–252, 1982) published in this journal. We also give a short proof of this theorem and use it to obtain certain information about the factorization of polynomials of the form f (x) - f (y) . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00019054
Volume :
96
Issue :
2
Database :
Academic Search Index
Journal :
Aequationes Mathematicae
Publication Type :
Academic Journal
Accession number :
156193573
Full Text :
https://doi.org/10.1007/s00010-021-00833-7