Linear independence of iterates and meromorphic solutions of functional equations

Christensen, Jens Peter Reus; Fischer, Pal

doi:10.1090/S0002-9939-1994-1182697-1

Linear independence of iterates and meromorphic solutions of functional equations
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by Jens Peter Reus Christensen and Pal Fischer PDF

Proc. Amer. Math. Soc. 120 (1994), 1137-1143 Request permission

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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