Name: On the Composition of Transcendental Entire and Meromorphic Functions
Creator: Walter Bergweiler
Keywords: 4. Education, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

On the composition of transcendental entire and meromorphic functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1995Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 123, page 2,151 (issn: 0002-9939,

Authors: Walter Bergweiler;

doi: 10.2307/2160951 , 10.1090/s0002-9939-1995-1257098-9

On the Composition of Transcendental Entire and Meromorphic Functions

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Abstract

It is proved that f ( g ) − R f(g) - R has infinitely many zeros if f is a transcendental meromorphic, g a transcendental entire, and R a non-constant rational function. The exponent of convergence of the sequence of zeros of f ( g ) − R f(g) - R is also estimated.

Related Organizations

Technical University of Berlin
Germany

Keywords

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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