A new proof of Bergweiler's conjecture concerning the first derivative of transcendental meromorphic function with picard exceptional value

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Published: Mar 30, 2015
DOI: https://doi.org/10.5556/j.tkjm.46.2015.1631
Keywords:
Transcendental meromorphic function Omit value Derivative

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Feng Guo
Yuha Li

Abstract

Let $f$ be a infinite order meromorphic function, suppose $f'$ omits the value 1 in $\mathbb{C}$. Then$M_{f}=f'(f^{-1}(0))$ is unbounded. We give a new proof for the case of infinite order for Bergweiler's conjecture.

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How to Cite
Guo, F., & Li, Y. (2015). A new proof of Bergweiler’s conjecture concerning the first derivative of transcendental meromorphic function with picard exceptional value. Tamkang Journal of Mathematics, 46(1), 91–99. https://doi.org/10.5556/j.tkjm.46.2015.1631
Issue
Vol. 46 No. 1 (2015)
Section
Papers
Author Biographies

Feng Guo

Department ofMathematics, China UniversityMining & Technology (Beijing), Beijing 100083, China.

Yuha Li

Department ofMathematics, Yunnan Normal University, Kunming 650500, China.

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