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) + A_k-1 (z) f^(k-1) +...+ A₁ (z) f' + A₀ (z) f= F (z), where A_o (z), ..., A_k-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 A_s is being dominant in the sense that it has larger growth than A_j (j≠s) and F.

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