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ZEROS OF COMPOSITE MEROMORPHIC FUNCTIONS AND AHLFORS'S THEORY OF COVERING SURFACES

Published online by Cambridge University Press:  28 November 2001

A. SAUER
A. SAUER
Affiliation:
Gerhard Mercator Universität, Fachbereich 11 Mathematik, Lotharstr. 65, 47057 Duisburg, Germany; [email protected]
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Abstract

This paper improves a theorem of Bergweiler on the zeros of functions f ○ g — R with f meromorphic, g entire and R rational. The proof yields a simple inequality for the number of zeros and T(r, g).

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 6 , November 2001 , pp. 682 - 684
Copyright
© The London Mathematical Society 2001

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