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2008 A REMARK ON MEROMORPHIC FUNCTIONS SHARING FOUR VALUES
Ten-Ging Chen, Keng-Yan Chen, Tze-Chun Ou, Yen-Lung Tsai
Taiwanese J. Math. 12(7): 1733-1737 (2008). DOI: 10.11650/twjm/1500405083

Abstract

In this paper, we prove that if two distinct non-constant meromorphic functions $f$ and $g$ share four distinct values $a_1, a_2, a_3, a_4$ \DM \ such that each $a_i$-point is either a $(p,q)$-fold or $(q,p)$-fold point of $f$ and $g$, then $(p,q)$ is either $(1,2)$ or $(1,3)$ and $f, g$ are in some particular forms.

Citation

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Ten-Ging Chen. Keng-Yan Chen. Tze-Chun Ou. Yen-Lung Tsai. "A REMARK ON MEROMORPHIC FUNCTIONS SHARING FOUR VALUES." Taiwanese J. Math. 12 (7) 1733 - 1737, 2008. https://doi.org/10.11650/twjm/1500405083

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1216.30032
MathSciNet: MR2449660
Digital Object Identifier: 10.11650/twjm/1500405083

Subjects:
Primary: 30D30 , 30D35

Keywords: distribution of values , meromorphic functions , Nevanlinna theory , Shared Values

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 7 • 2008
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