Local analytic solutions of a functional equation

Local analytic solutions of a functional equation

All analytic solutions of the functional equation
 [
 |f(rexp(iheta))|^{2}+|f(1)|^{2}=|f(r)|^{2}+|f(exp(iheta))|^{2}
 ]
 in the annulus
 [
 P:={zin mathbb{C}: 1-epsilonle|z|le1+epsilon} 
 ]
 and in the domain
 [
 D:={z=r...

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Bibliographic Details
Main Authors: Andrzej Smajdor, Wilhelmina Smajdor
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2004-05-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/26
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spelling doaj-fbe644fe8b2e4c9b92de827aa57cd4712020-11-25T02:38:50ZdeuWydawnictwo Naukowe Uniwersytetu PedagogicznegoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 2081-545X2004-05-0141203209Local analytic solutions of a functional equationAndrzej SmajdorWilhelmina SmajdorAll analytic solutions of the functional equation
 [
 |f(rexp(iheta))|^{2}+|f(1)|^{2}=|f(r)|^{2}+|f(exp(iheta))|^{2}
 ]
 in the annulus
 [
 P:={zin mathbb{C}: 1-epsilonle|z|le1+epsilon} 
 ]
 and in the domain
 [
 D:={z=re^{iheta}in mathbb{C}: 1-epsilonle r le 1+epsilon, hetain (-delta,delta)},
 ]
 are found.http://studmath.up.krakow.pl/index.php/studmath/article/view/26
collection DOAJ
language deu
format Article
sources DOAJ
author Andrzej Smajdor
Wilhelmina Smajdor
spellingShingle Andrzej Smajdor
Wilhelmina Smajdor
Local analytic solutions of a functional equation
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
author_facet Andrzej Smajdor
Wilhelmina Smajdor
author_sort Andrzej Smajdor
title Local analytic solutions of a functional equation
title_short Local analytic solutions of a functional equation
title_full Local analytic solutions of a functional equation
title_fullStr Local analytic solutions of a functional equation
title_full_unstemmed Local analytic solutions of a functional equation
title_sort local analytic solutions of a functional equation
publisher Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
series Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
issn 2081-545X
publishDate 2004-05-01
description All analytic solutions of the functional equation
 [
 |f(rexp(iheta))|^{2}+|f(1)|^{2}=|f(r)|^{2}+|f(exp(iheta))|^{2}
 ]
 in the annulus
 [
 P:={zin mathbb{C}: 1-epsilonle|z|le1+epsilon} 
 ]
 and in the domain
 [
 D:={z=re^{iheta}in mathbb{C}: 1-epsilonle r le 1+epsilon, hetain (-delta,delta)},
 ]
 are found.
url http://studmath.up.krakow.pl/index.php/studmath/article/view/26
work_keys_str_mv AT andrzejsmajdor localanalyticsolutionsofafunctionalequation
AT wilhelminasmajdor localanalyticsolutionsofafunctionalequation
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