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On the fixpoints of composite entire functions of finite order

Published online by Cambridge University Press:  14 November 2011

J. K. Langley
J. K. Langley
Affiliation:
Department of Mathematics, University of Nottingham, NG7 2RD, U.K.
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Extract

Suppose that f and g are transcendental entire functions such that the composition F = f(g) has finite order, and suppose that Q is a nonconstant rational function. We show that N(r, 1/(F – Q)) ≠ o(T(r, F)). The theorem is related to results of Bergweiler, Goldstein and others.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 5 , 1994 , pp. 995 - 1001
Copyright
Copyright © Royal Society of Edinburgh 1994

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