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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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Keywords: Meromorphic functions, linear independence of iterates, Feigenbaum functional equation, Julia sets
Article copyright: © Copyright 1994 American Mathematical Society

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