Growth, Zeros and Fixed points of Differences of Meromorphic Solutions of Difference Equations

Autor:	Zong-xuan Chen, Shuang-ting Lan
Rok vydání:	2020
Předmět:	010101 applied mathematics Pure mathematics Differential equation Applied Mathematics Entire function 010102 general mathematics Order (ring theory) 0101 mathematics Fixed point 01 natural sciences Meromorphic function Mathematics
Zdroj:	Applied Mathematics-A Journal of Chinese Universities. 35:16-32
ISSN:	1993-0445 1005-1031
Popis:	In this paper, we study the difference equation $${a_1}\left(z \right)f\left({z + 1} \right) + {a_0}\left(z \right)f\left(z \right) = 0,$$ where a1(z) and a0(z) are entire functions of finite order. Under some conditions, we obtain some properties, such as fixed points, zeros etc., of the differences and forward differences of meromorphic solutions of the above equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::32efa777f1631875ee3ea2b9e45ce279 https://doi.org/10.1007/s11766-020-3582-8 Zobrazit plný text záznamu Full text from SpringerLink