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Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

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Normal families of holomorphic functions with multiple zeros
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by Xuecheng Pang, Mingliang Fang and Lawrence Zalcman
Conform. Geom. Dyn. 11 (2007), 101-106
Published electronically: June 13, 2007


Let $\mathcal F$ be a family of functions holomorphic on a domain $D$ in $\mathbb C,$ all of whose zeros are multiple. Let $h$ be a function meromorphic on $D,$ $h\not \equiv 0,\infty .$ Suppose that for each $f\in \mathcal F,$ $f’(z)\ne h(z)$ for $z\in D.$ Then $\mathcal F$ is a normal family on $D.$
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Bibliographic Information
  • Xuecheng Pang
  • Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China
  • MR Author ID: 228232
  • Email:
  • Mingliang Fang
  • Affiliation: Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, People’s Republic of China
  • Email:
  • Lawrence Zalcman
  • Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel
  • Email:
  • Received by editor(s): February 28, 2007
  • Published electronically: June 13, 2007
  • Additional Notes: The first author’s research was supported by the NNSF of China (Grant No. 10671067).
    The second author’s research was supported by the NNSF of China (Grant No. 10471065).
    The third author’s research was supported by the German-Israeli Foundation for Scientific Research and Development, Grant G-809-234.6/2003.
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 11 (2007), 101-106
  • MSC (2000): Primary 30D45
  • DOI:
  • MathSciNet review: 2314245