Meromorphic solutions of difference equations originated from Schwarzian differential equation

Autor:	Zhi-Bo Huang, Shuang-Ting Lan, Chuangxin Chen
Rok vydání:	2020
Předmět:	Pure mathematics Mathematics::Complex Variables Differential equation General Mathematics Mathematics Meromorphic function
Zdroj:	Filomat. 34:2003-2015
ISSN:	2406-0933 0354-5180
Popis:	Let f (z) be a meromorphic functions with finite order , R(z) be a nonconstant rational function and k be a positive integer. In this paper, we consider the difference equation originated from Schwarzian differential equation, which is of form [?3f(z)?f(z)- 3/2(?2|(z))2]k = R(z)(?f (z))2k. We investigate the uniqueness of meromorphic solution f of difference Schwarzian equation if f shares three values with any meromrphic function. The exact forms of meromorphic solutions f of difference Schwarzian equation are also presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8867785700c614e145d09a85eba69db1 https://doi.org/10.2298/fil2006003l Zobrazit plný text záznamu