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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 meromorphic solutions of functional equations


Authors: Jens Peter Reus Christensen and Pal Fischer
Journal: Proc. Amer. Math. Soc. 120 (1994), 1137-1143
MSC: Primary 30D05; Secondary 39B12
MathSciNet review: 1182697
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Abstract: It is shown that except for trivial cases a sequence generated by iteration of meromorphic functions is always linearly independent. The nonexistence of meromorphic solutions and solutions having only isolated singularities of the Feigenbaum functional equation is proven.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1182697-1
PII: S 0002-9939(1994)1182697-1
Keywords: Meromorphic functions, linear independence of iterates, Feigenbaum functional equation, Julia sets
Article copyright: © Copyright 1994 American Mathematical Society