TY - JOUR
T1 - The Radial Oscillation of Entire Solutions of a Class of
Higher Order Complex Differential Equations
AU - Hussein, Eman Ali AU - Ali, Ayad Waly
JO - Journal of Engineering and Applied Sciences
VL - 13
IS - 9
SP - 2609
EP - 2613
PY - 2018
DA - 2001/08/19
SN - 1816-949x
DO - jeasci.2018.2609.2613
UR - https://makhillpublications.co/view-article.php?doi=jeasci.2018.2609.2613
KW - estimates
KW -linear differential equation order
KW -entire function
KW -Borel direction
KW -growth
KW -angular
AB - 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.
ER -