Abstract
In this paper we investigate the n-iterated exponent of convergence of \( f^{\left( i\right) }-\varphi \) where \(f\not \equiv 0\) is a solution of linear differential equation with analytic and meromorphic coefficients in the unit disc and \(\varphi \) is a small function of f. By this investigation we can deduce the value distribution of the fixed points of \(f^{\left( i\right) }\) by taking \(\varphi \left( z\right) =z\). This work is an extension to the unit disc and an improvement of recent results in the complex plane by Xu et al. (Adv Differ Equ 2012(114):1–16, 2012) and Tu et al. (Adv Differ Equ 2013(71):1–16, 2013).
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Fettouch, H., Hamouda, S. Iterated exponent of convergence of solutions of linear differential equations in the unit disc. Afr. Mat. 29, 625–639 (2018). https://doi.org/10.1007/s13370-018-0565-5
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DOI: https://doi.org/10.1007/s13370-018-0565-5