Meromorphic Functions that Share Four or Five Pairs of Values

Meromorphic Functions that Share Four or Five Pairs of Values It is shown that two non-constant meromorphic functions that share two pairs of values counting multiplicities and share three other pairs of values ignoring multiplicities are Möbius transformations of each other. This result is sharp. Examples of meromorphic functions that share four or five pairs of values are discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Meromorphic Functions that Share Four or Five Pairs of Values

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2017 by Springer-Verlag GmbH Germany
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
D.O.I.
10.1007/s40315-017-0225-z
Publisher site
See Article on Publisher Site

Abstract

It is shown that two non-constant meromorphic functions that share two pairs of values counting multiplicities and share three other pairs of values ignoring multiplicities are Möbius transformations of each other. This result is sharp. Examples of meromorphic functions that share four or five pairs of values are discussed.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Nov 28, 2017

References

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