On the composition of transcendental entire and meromorphic functions

Bergweiler, Walter

doi:10.1090/S0002-9939-1995-1257098-9

On the composition of transcendental entire and meromorphic functions
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by Walter Bergweiler

Proc. Amer. Math. Soc. 123 (1995), 2151-2153

DOI: https://doi.org/10.1090/S0002-9939-1995-1257098-9

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Abstract:

It is proved that $f(g) - R$ 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 $f(g) - R$ is also estimated.

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Fix-points of meromorphic functions

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