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Journal of Engineering and Applied Sciences

ISSN: Online 1818-7803
ISSN: Print 1816-949x
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The Radial Oscillation of Entire Solutions of a Class of Higher Order Complex Differential Equations

Ayad Waly Ali and Eman Ali Hussein
Page: 2609-2613 | Received 21 Sep 2022, Published online: 21 Sep 2022

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https://doi.org/10.36478/jeasci.2018.2609.2613

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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.

How to cite this article:

Ayad Waly Ali and Eman Ali Hussein. The Radial Oscillation of Entire Solutions of a Class of Higher Order Complex Differential Equations.
DOI: https://doi.org/10.36478/jeasci.2018.2609.2613
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2018.2609.2613