Growth of Solutions of Higher Order Complex Linear Differential Equations in an Angular Domain of Unit Disc

Growth of Solutions of Higher Order Complex Linear Differential Equations in an Angular Domain of Unit Disc

Year:    2015

Author:    Jianren Long

Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 306–314

Abstract

We study the growth of solutions of higher order complex differential equations in an angular domain of the unit disc instead of the whole unit disc. Some conditions on coefficient functions, which will guarantee all non-trivial solutions of the higher order differential equations have fast growing, are found in this paper.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v48n3.15.08

Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 306–314

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Complex differential equation analytic function iterated $n$-order angular domain unit disc.

Author Details

Jianren Long

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