Nacera Berrighi, Saada Hamouda
Abstract:
In this article, we study the exponent of convergence of
where
is a solution of linear
differential equations with analytic and meromorphic coefficients in the
unit disc and
is a small function of
.
From this results
we deduce the fixed points of
by taking
.
We will see the similarities and differences between
the complex plane and the unit disc.
Submitted May 21, 2015. Published November 11, 2015.
Math Subject Classifications: 34M10, 30D35.
Key Words: Linear differential equations; exponent of convergence;
growth of solutions, unit disc.
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Nacera Berrighi Laboratory of Pure and Applied Mathematics University of Mostaganem, UMAB, Algeria email: berrighinacera@univ-mosta.dz | |
Saada Hamouda Laboratory of Pure and Applied Mathematics University of Mostaganem, UMAB, Algeria email: hamoudasaada@univ-mosta.dz, hamouda_saada@yahoo.fr |
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