Vol. 143, No. 1, 1990

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On the fix-points of composite functions

Walter Bergweiler

Vol. 143 (1990), No. 1, 1–8
Abstract

Gross has conjectured that a composite transcendental entire function has infinitely many fix-points. We show that the conjecture is true if one of the two components has finite order.

Mathematical Subject Classification 2000
Primary: 30D05
Milestones
Received: 31 May 1988
Revised: 11 November 1988
Published: 1 May 1990
Authors
Walter Bergweiler