An alternative equation for polynomial functions

Verfasser / Beitragende:
[Zoltán Boros, Włodzimierz Fechner]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/1(2015-02-01), 17-22
Format:
Artikel (online)
ID: 605508046
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024 7 0 |a 10.1007/s00010-014-0258-6  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00010-014-0258-6 
245 0 3 |a An alternative equation for polynomial functions  |h [Elektronische Daten]  |c [Zoltán Boros, Włodzimierz Fechner] 
520 3 |a In this paper we prove that if a generalized polynomial function f satisfies the condition f(x) f(y) = 0 for all solutions of the equation x 2 + y 2 = 1, then f is identically equal to 0. 
540 |a The Author(s), 2014 
690 7 |a Polynomial functions  |2 nationallicence 
690 7 |a Alternative equation  |2 nationallicence 
700 1 |a Boros  |D Zoltán  |u Institute of Mathematics, University of Debrecen, P. O. Box:12, 4010, Debrecen, Hungary  |4 aut 
700 1 |a Fechner  |D Włodzimierz  |u Institute of Mathematics, University of Silesia, Bankowa 14, 40-007, Katowice, Poland  |4 aut 
773 0 |t Aequationes mathematicae  |d Springer Basel  |g 89/1(2015-02-01), 17-22  |x 0001-9054  |q 89:1<17  |1 2015  |2 89  |o 10 
856 4 0 |u https://doi.org/10.1007/s00010-014-0258-6  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00010-014-0258-6  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Boros  |D Zoltán  |u Institute of Mathematics, University of Debrecen, P. O. Box:12, 4010, Debrecen, Hungary  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Fechner  |D Włodzimierz  |u Institute of Mathematics, University of Silesia, Bankowa 14, 40-007, Katowice, Poland  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Aequationes mathematicae  |d Springer Basel  |g 89/1(2015-02-01), 17-22  |x 0001-9054  |q 89:1<17  |1 2015  |2 89  |o 10