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Permutable Entire Functions Satisfying Algebraic Differential Equations

Permutable Entire Functions Satisfying Algebraic Differential Equations We show that if f and g are transcendental entire functions such that f(g) = g(f), then f satisfies an algebraic differential equation if and only if g does. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Permutable Entire Functions Satisfying Algebraic Differential Equations

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321673
Publisher site
See Article on Publisher Site

Abstract

We show that if f and g are transcendental entire functions such that f(g) = g(f), then f satisfies an algebraic differential equation if and only if g does.

Journal

Computational Methods and Function TheorySpringer Journals

Published: May 22, 2007

References