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The Australian Journal of Mathematical Analysis and Applications ISSN 1449-5910 |
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Paper Title:
Iterated Order of Fast Growth Solutions of Linear Differential Equations
Author(s):
Benharrat Belaïdi
Department of Mathematics
Laboratory of Pure and Applied Mathematics
University of Mostaganem
B. P. 227 Mostaganem,
ALGERIA.
belaidi@univ-mosta.dz
Abstract:
In this paper, we investigate the growth of solutions of the differential
equation
f(k) + Ak-1 (z) f(k-1) +...+ A1 (z) f' + A0 (z) f= F (z),
where
Ao (z), ..., Ak-1 (z)
and
F (z) 
0
are entire functions. Some estimates are given for the iterated order of solutions of the above quation when one of the coefficients As is being dominant in the sense that it has larger growth than Aj (j≠s) and F.
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