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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
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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

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