Geodesic
Growth of solutions of a class of complex differential equations
Ting-Bin Cao1
1 Department of Mathematics Nanchang University Nanchang, Jiangxi 330031, China
Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 141-152.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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].
DOI : 10.4064/ap95-2-5
Keywords: main purpose paper partly answer question yang israel math proving every entire solution differential equation prime e has infinite order its hyperorder positive integer infinity where nonconstant entire function order application obtain uniqueness theorem entire functions related conjecture results math

Ting-Bin Cao 1

1 Department of Mathematics Nanchang University Nanchang, Jiangxi 330031, China 
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Ting-Bin Cao. Growth of solutions of
 a class of complex differential equations. Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 141-152. doi : 10.4064/ap95-2-5. http://geodesic.mathdoc.fr/articles/10.4064/ap95-2-5/

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