In this paper, we investigate the exponent of convergence of $f^{\left(i\right) }-\varphi $ where $f^{\left( 0\right) }=f\not\equiv 0$ is asolution of linear differential equations with meromorphic coefficients inthe unit disc and $\varphi $ is a small function of $f$. Our investigationis based on the behavior of the coefficients on a neighborhood of a point onthe boundary of the unit disc. By this investigation we can deduce the fixedpoints of $f^{\left( i\right) }$ by taking $\varphi \left( z\right) =z$.
@article{4656,
title = {Exponent of convergence of solutions of a class of linear differential equations in the unit disc},
journal = {Novi Sad Journal of Mathematics},
volume = {46},
year = {2017},
language = {EN},
url = {http://dml.mathdoc.fr/item/4656}
}
Yssaad, Somia; Hamouda, Saada. Exponent of convergence of solutions of a class of linear differential equations in the unit disc. Novi Sad Journal of Mathematics, Tome 46 (2017) . http://gdmltest.u-ga.fr/item/4656/