On the composition of transcendental entire and meromorphic functions
Author:
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.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1995-123-07/S0002-9939-1995-1257098-9/S0002-9939-1995-1257098-9.pdf
Reference11 articles.
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2. On the existence of fixpoints of composite meromorphic functions;Bergweiler, Walter;Proc. Amer. Math. Soc.,1992
3. On the value distribution of composite meromorphic functions;Bergweiler, Walter;Bull. London Math. Soc.,1993
4. Die Grundlehren der mathematischen Wissenschaften, Band 110;Dinghas, Alexander,1961
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Composite Meromorphic Functions and Growth of the Spherical Derivative;Journal of Mathematical Analysis and Applications;2001-05
2. On the common right factors of meromorphic functions;Bulletin of the Australian Mathematical Society;1997-06
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