Derivatives of meromorphic functions with multiple zeros and rational functions

Xuecheng Pang; Shahar Nevo; Lawrence Zalcman

doi:10.1007/bf03321700

Derivatives of meromorphic functions with multiple zeros and rational functions

Xuecheng Pang, Shahar Nevo, Lawrence Zalcman

Department of Mathematics

East China Normal University

Research output: Contribution to journal › Article › peer-review

Abstract

Let f be a transcendental meromorphic function on ℂ, all but finitely many of whose zeros are multiple, and let R be a rational function, R ≢ 0. Then f′ − R has infinitely many zeros.

Original language	American English
Pages (from-to)	483-491
Journal	Computational Methods and Function Theory
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/bf03321700
State	Published - 2008

Keywords

Value distribution theory
Quasinormal families

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10.1007/bf03321700

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title = "Derivatives of meromorphic functions with multiple zeros and rational functions",

abstract = "Let f be a transcendental meromorphic function on ℂ, all but finitely many of whose zeros are multiple, and let R be a rational function, R ≢ 0. Then f′ − R has infinitely many zeros.",

keywords = "Value distribution theory, Quasinormal families",

author = "Xuecheng Pang and Shahar Nevo and Lawrence Zalcman",

year = "2008",

doi = "10.1007/bf03321700",

language = "American English",

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pages = "483--491",

journal = "Computational Methods and Function Theory",

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AU - Pang, Xuecheng

AU - Nevo, Shahar

AU - Zalcman, Lawrence

PY - 2008

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N2 - Let f be a transcendental meromorphic function on ℂ, all but finitely many of whose zeros are multiple, and let R be a rational function, R ≢ 0. Then f′ − R has infinitely many zeros.

AB - Let f be a transcendental meromorphic function on ℂ, all but finitely many of whose zeros are multiple, and let R be a rational function, R ≢ 0. Then f′ − R has infinitely many zeros.

KW - Value distribution theory

KW - Quasinormal families

UR - https://link.springer.com/article/10.1007/BF03321700

U2 - 10.1007/bf03321700

DO - 10.1007/bf03321700

M3 - Article

SN - 1617-9447

VL - 8

SP - 483

EP - 491

JO - Computational Methods and Function Theory

JF - Computational Methods and Function Theory

IS - 2

ER -

Derivatives of meromorphic functions with multiple zeros and rational functions

Abstract

Keywords

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