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

Authors

  • Jianren Long School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou Province, P. R. China

DOI:

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

Keywords:

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

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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Published

2015-09-02

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Issue

Vol. 48 No. 3 (2015)

Section

Articles

How to Cite

Growth of Solutions of Higher Order Complex Linear Differential Equations in an Angular Domain of Unit Disc. (2015). Journal of Mathematical Study, 48(3), 306-314. https://doi.org/10.4208/jms.v48n3.15.08