Open Access
2014 MEROMORPHIC SOLUTIONS OF DIFFERENCE EQUATION $f(z+1)=R\circ f(z)$
Zhang Jie
Taiwanese J. Math. 18(1): 27-37 (2014). DOI: 10.11650/tjm.18.2014.2747

Abstract

In this paper, we investigate the solutions of difference equation $f(z+1) = R \circ f(z)$ by utilizing Nevanlinna theory, where $R(z)$ is a rational function. And we also research the quantity of zeroes, poles, fixed points, and Borel exceptional values of the solutions.

Citation

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Zhang Jie. "MEROMORPHIC SOLUTIONS OF DIFFERENCE EQUATION $f(z+1)=R\circ f(z)$." Taiwanese J. Math. 18 (1) 27 - 37, 2014. https://doi.org/10.11650/tjm.18.2014.2747

Information

Published: 2014
First available in Project Euclid: 10 July 2017

zbMATH: 1357.30021
MathSciNet: MR3162111
Digital Object Identifier: 10.11650/tjm.18.2014.2747

Subjects:
Primary: 30D35 , 34M10

Keywords: difference equation , order , uniqueness

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

Vol.18 • No. 1 • 2014
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