Meromorphic solutions of higher order Briot–Bouquet differential equations

2008/07/29 by ALEXANDRE E EREMENKO, LIANGWEN LIAO, TUEN WAI NG
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Meromorphic and Entire Functions #Polynomial and algebraic computation

paper · doi:10.1017/s030500410800176x

openalex publication_date 2008/07/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Abstract For differential equations P ( y ( k ) , y )=0, where P is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate.

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