Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
Computational Methods and Function Theory 8 (2008), No. 2, 483--491
Copyright Heldermann Verlag 2008

Derivatives of Meromorphic Functions with Multiple Zeros and Rational Functions

Xuecheng Pang
xcpang@euler.math.ecnu.edu.cn , East China Normal University, Department of Mathematics, Shanghai 200062, P. R. China.

Shahar Nevo
nevosh@macs.biu.ac.il , Bar-Ilan University, Department of Mathematics, 52900 Ramat-Gan, Israel.

Lawrence Zalcman
zalcman@macs.biu.ac.il , Bar-Ilan University, Department of Mathematics, 52900 Ramat-Gan, Israel.

[Abstract-pdf] [Abstract-ps]

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\not\equiv0. Then f'-R has infinitely many zeros.

Keywords: Value distribution theory, quasinormal families.

MSC 2000: 30D35, 30D45.

[FullText-pdf (240 K)] [FullText-ps (400 K)]