Résumé:
Overall, the subject of this thesis was devoted to the growth and xed points of solutions of
linear differential equations of the form
(k)
(k 1)
0
A (z) f + A
(z) f
+ + A (z) f + A (z) f = 0;
1
0
k
k 1
in the case where A (z) 6 0 (i = 0; 1; :::; k and k > 2) are analytic functions in the unit disc by
i
using the concept of [p; q]-order.
During this work, we mentioned some results, in which we studied the [p; q]-order and the
[p; q]-exponent of convergence of the sequence of distinct xed points of solutions and their ar-
bitrary order derivatives of general high-order linear di⁄erential equations cited above, and this
leads us to ask the following questions:
Is it possible to obtain similar results for a sector of the unit disc?
And can we generalize the results when the coefficients are meromorphic functions and for
non-homogeneous linear differential equations? And under what conditions would this
generalization be possible?
