Growth of solutions of a class of complex differential equations

Volume 95 / 2009

Ting-Bin Cao Annales Polonici Mathematici 95 (2009), 141-152 MSC: Primary 34M10; Secondary 30D35. DOI: 10.4064/ap95-2-5


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 $f^{\prime }-e^{P(z)}f=1$ 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].


  • Ting-Bin CaoDepartment of Mathematics
    Nanchang University
    Nanchang, Jiangxi 330031, China

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image