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An example concerning islands of meromorphic functions and their derivatives
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Andreas Sauer
Veröffentlicht/Copyright:
25. September 2009
Abstract
We show that Hayman´s theorem on the value distribution of meromorphic functions and their derivatives cannot be translated in a one-to-one fashion to the terms which are used in Ahlfors´ theory of covering surfaces. This answers a question in [2].
Keywords: Ahlfors theory; Haymans theorem
Published Online: 2009-09-25
Published in Print: 2008-12
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Artikel in diesem Heft
- A generalization of a theorem by Křížek, Luca, and Somer on elite primes
- A uniqueness theorem for meromorphic mappings without counting multiplicities
- On the regularity of H-surfaces with free boundaries on a smooth support manifold
- Schwarz inequality for squares of harmonic conjugate functions
- Two spaces conditions for integrability of the Fourier transform
- An example concerning islands of meromorphic functions and their derivatives
- Nonexistence criteria for polyharmonic boundary-value problems
Artikel in diesem Heft
- A generalization of a theorem by Křížek, Luca, and Somer on elite primes
- A uniqueness theorem for meromorphic mappings without counting multiplicities
- On the regularity of H-surfaces with free boundaries on a smooth support manifold
- Schwarz inequality for squares of harmonic conjugate functions
- Two spaces conditions for integrability of the Fourier transform
- An example concerning islands of meromorphic functions and their derivatives
- Nonexistence criteria for polyharmonic boundary-value problems
