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A Quantitative Estimate on Fixed-Points of Composite Meromorphic Functions

Published online by Cambridge University Press:  20 November 2018

Jian-Hua Zheng*
Affiliation:
Department of Applied Mathematics, Tsing Hua University, Beijing, 100084, People's Republic of China
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Abstract

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Let ƒ(z) be a transcendental meromorphic function of finite order, g(z) a transcendental entire function of finite lower order and let α(z) be a non-constant meromorphic function with T(r, α) = S(r,g). As an extension of the main result of [7], we prove that

where J has a positive lower logarithmic density.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1995

References

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