Eman Ali Hussein, Ayad Waly Ali,
The Radial Oscillation of Entire Solutions of a Class of
Higher Order Complex Differential Equations,
Journal of Engineering and Applied Sciences,
Volume 13,Issue 9,
2018,
Pages 2609-2613,
ISSN 1816-949x,
jeasci.2018.2609.2613,
(https://makhillpublications.co/view-article.php?doi=jeasci.2018.2609.2613)
Abstract: In this study, we shall study the radial oscillation of solutions of n-th order complex linear differential
equations f (n) A (z)n-1 f(n-1)+...+ A1 (z) f+A0 (z)f = F (z) where, Aj(z), j = 0, 1, ..., n-1 and F(z) are transcendental entire
functions. We shall add some conditions on coefficients which show the relation between the Borel directions
of solutions f and that of F(z), further we obtain some estimates of growth of solutions in the angular
domains.
Keywords: estimates;linear differential equation order;entire function;Borel direction;growth;angular