On the functional equation F(A(z)) = G(B(z)), where A,B are polynomials and F,G are continuous functions-Reference-Cited by-同舟云学术

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On the functional equation F(A(z)) = G(B(z)), where A,B are polynomials and F,G are continuous functions

Published:2007-09 Issue:2 Volume:143 Page:469-472
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

PAKOVICH F.

Abstract

AbstractIn this paper we describe solutions of the equation: F(A(z)) = G(B(z)), where A,B are polynomials and F,G are continuous functions on the Riemann sphere.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. The Arithmetic of Entire Functions under Composition

2. [3] Pakovich F. . On polynomials sharing preimages of compact sets, and related questions. preprint, math.DS/0603452. To appear in Geom. Funct. Anal.

3. Prime and composite polynomials

4. On the functional equation f ( p ( z ))= g ( q ( z )), where p and q are “generalized” polynomials and f and g are meromorphic functions

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1. On functional equations for meromorphic functions and applications;Archiv der Mathematik;2017-09-01

2. Jordan-Hölder theorem for imprimitivity systems and maximal decompositions of rational functions;Proceedings of the London Mathematical Society;2010-05-06

3. Prime and composite Laurent polynomials;Bulletin des Sciences Mathématiques;2009-10

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