Quasinormal Families of Meromorphic Functions II‏

Xuecheng Pang, Shahar Nevo, Lawrence Zalcman

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Let F be a quasinormal family of meromorphic functions on D, all of whose zeros are multiple, and let ϕ be a holomorphic function univalent on D. Suppose that for any f ∊ F , f′(z) ≠ ϕ′(z) for z ∊ D. Then F is quasinormal of order 1 on D. Moreover, if there exists a compact set K ⊂ D such that each f ∊ F. vanishes at two distinct points of K, then F is normal on D.
Original languageAmerican English
Title of host publicationSelected Topics in Complex Analysis
EditorsV.Y. Eiderman, M.V. Samokhin
Place of PublicationBasel
ISBN (Electronic)978-3-7643-7340-5
ISBN (Print)978-3-7643-7251-4
StatePublished - 2005

Publication series

NameOperator Theory: Advances and Applications
PublisherBirkhäuser Basel
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Bibliographical note

The S. Ya. Khavinson Memorial Volume, © 2005 Birkhäuser Verlag Basel/Switzerland


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