Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-27T21:11:49.044Z Has data issue: false hasContentIssue false
  • English
  • Français

EXCEPTIONAL FUNCTIONS AND NORMALITY

Published online by Cambridge University Press:  01 July 1997

WILHELM SCHWICK
WILHELM SCHWICK
Affiliation:
Institut für Mathematik, Universität Dortmund, 44221 Dortmund, Germany
Get access

Abstract

Yang proved in [10] that if f and f(k) have no fix-points for every f∈F, where F is a family of meromorphic functions in a domain G and k a fixed integer, then F is normal in G. In this paper we prove normality for families F for which every f∈F omits ψ1 and f(k) omits ψ2, where ψ1 and ψ2 are analytic functions with ψ(k)1[nequiv ]ψ2.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 4 , July 1997 , pp. 425 - 432
Copyright
© The London Mathematical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)