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On normal families and a result of Drasin

Published online by Cambridge University Press:  14 November 2011

J. K. Langley
J. K. Langley
Affiliation:
Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801, U.S.A.
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Synopsis

We prove the following: suppose that a and b are complex numbers, with a non-zero, and that n is an integer not less than 5. Then, if F is a family of functions meromorphic in a plane domain Dsuch that, for each f in F, the equation

has no solutions in D, then F is normal in D.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 98 , Issue 3-4 , 1984 , pp. 385 - 393
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

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