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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Linear independence of iterates and entire solutions of functional equations


Authors: Jens Peter Reus Christensen and Pal Fischer
Journal: Proc. Amer. Math. Soc. 103 (1988), 1120-1124
MSC: Primary 30D05; Secondary 30D20, 39B10
MathSciNet review: 954993
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Abstract: A classical result of Pólya concerning the growth of Nevanlinna's characteristics of composite functions is used to prove linear independence of some iterates. The same result of Pólya is also used to show the nonexistence of entire solutions of the Feigenbaum functional equation.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0954993-9
PII: S 0002-9939(1988)0954993-9
Keywords: Nevanlinna's characteristic, linear independence of iterates, Feigenbaum functional equation
Article copyright: © Copyright 1988 American Mathematical Society