Open Access
March 2014 Properties of meromorphic solutions of some certain difference equations
Chang-Wen Peng, Zong-Xuan Chen
Kodai Math. J. 37(1): 97-119 (March 2014). DOI: 10.2996/kmj/1396008250

Abstract

This paper considers some properties of meromorphic solutions of the nonlinear difference equation

(f(z + 1) + f(z))(f(z) + f(z − 1)) = $\frac{P(z,f(z))}{Q(z,f(z))}$,

where P(z, f(z)) and Q(z, f(z)) are polynomials in f having rational coefficients and no common roots.

Citation

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Chang-Wen Peng. Zong-Xuan Chen. "Properties of meromorphic solutions of some certain difference equations." Kodai Math. J. 37 (1) 97 - 119, March 2014. https://doi.org/10.2996/kmj/1396008250

Information

Published: March 2014
First available in Project Euclid: 28 March 2014

zbMATH: 1294.30070
MathSciNet: MR3189516
Digital Object Identifier: 10.2996/kmj/1396008250

Rights: Copyright © 2014 Tokyo Institute of Technology, Department of Mathematics

Vol.37 • No. 1 • March 2014
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