Growth of solutions of a class of complex differential equations

• Autorzy: Ting-Bin Cao
• Języki publikacji: EN

Abstrakty

EN

The main purpose of this paper is to partly answer a question of L. Z. Yang [Israel J. Math. 147 (2005), 359-370] by proving that every entire solution f of the differential equation $f'-e^{P(z)}f = 1$ has infinite order and its hyperorder is a positive integer or infinity, where P is a nonconstant entire function of order less than 1/2. As an application, we obtain a uniqueness theorem for entire functions related to a conjecture of Brück [Results Math. 30 (1996), 21-24].

Kategorie tematyczne

• 34M10: Oscillation, growth of solutions
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 95
• Numer: 2
• Strony: 141-152

Daty

wydano

2009

Twórcy

autor

Ting-Bin Cao

• Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, China

Identyfikatory

DOI

10.4064/ap95-2-5