On the fixpoints of composite entire functions of finite order

Author:

Langley J. K.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

1. 20 Yang C. C. and Zheng J. H. . Further results on fixpoints and zeros of entire functions (preprint).

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4. 11 Eremenko A. . Meromorphic functions with small ramification. Indiana Univ. Math. J. (to appear).

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1. On deficiencies and fixpoints of composite meromorphic functions;Complex Variables, Theory and Application: An International Journal;1997-09

2. On the fix-points of composite meromorphic functions and generalizations;Journal d'Analyse Mathématique;1996-12

3. A lower bound for the number of zeros of a meromorphic function and its second derivative;Proceedings of the Edinburgh Mathematical Society;1996-02

4. ON THE COMPOSITION OF TRANSCENDENTAL ENTIRE AND MEROMORPHIC FUNCTIONS;P AM MATH SOC;1995

5. On the composition of transcendental entire and meromorphic functions;Proceedings of the American Mathematical Society;1995

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