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On the hypertranscendence of meromorphic solutions of certain functional equations†

Published online by Cambridge University Press:  14 November 2011

Steven B. Bank
Steven B. Bank
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, U.S.A.
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Synopsis

This paper deals mainly with showing that meromorphic solutions of Poincaré functional equations cannot satisfy algebraic differential equations. Results of this type for entire solutions have previously been obtained by H. Wittich.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 1-2 , 1979 , pp. 45 - 54
Copyright
Copyright © Royal Society of Edinburgh 1979

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References

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