Growth of solutions of complex differential equations in a sector of the unit disc

In this article, we study the growth of solutions of homogeneous linear complex differential equation by using the concept of lower [p,q]-order and lower [p,q]-type in a sector of the unit disc instead of the whole unit disc, and we obtain similar results as in the case of the unit disc.

Bibliographic Details
Main Author: Benharrat Belaidi
Format: Article
Language:English
Published: Texas State University 2019-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/98/abstr.html
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author Benharrat Belaidi
author_facet Benharrat Belaidi
author_sort Benharrat Belaidi
collection DOAJ
description In this article, we study the growth of solutions of homogeneous linear complex differential equation by using the concept of lower [p,q]-order and lower [p,q]-type in a sector of the unit disc instead of the whole unit disc, and we obtain similar results as in the case of the unit disc.
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spelling doaj.art-86217e5b8cd04024b16917c70f1f19f02022-12-21T18:23:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-08-01201998,115Growth of solutions of complex differential equations in a sector of the unit discBenharrat Belaidi0 Univ. of Mostaganem, Mostaganem, Algeria In this article, we study the growth of solutions of homogeneous linear complex differential equation by using the concept of lower [p,q]-order and lower [p,q]-type in a sector of the unit disc instead of the whole unit disc, and we obtain similar results as in the case of the unit disc.http://ejde.math.txstate.edu/Volumes/2019/98/abstr.htmlComplex differential equationanalytic function, [p,q]-orderlower [p,q]-typesector
spellingShingle Benharrat Belaidi
Growth of solutions of complex differential equations in a sector of the unit disc
Electronic Journal of Differential Equations
Complex differential equation
analytic function, [p,q]-order
lower [p,q]-type
sector
title Growth of solutions of complex differential equations in a sector of the unit disc
title_full Growth of solutions of complex differential equations in a sector of the unit disc
title_fullStr Growth of solutions of complex differential equations in a sector of the unit disc
title_full_unstemmed Growth of solutions of complex differential equations in a sector of the unit disc
title_short Growth of solutions of complex differential equations in a sector of the unit disc
title_sort growth of solutions of complex differential equations in a sector of the unit disc
topic Complex differential equation
analytic function, [p,q]-order
lower [p,q]-type
sector
url http://ejde.math.txstate.edu/Volumes/2019/98/abstr.html
work_keys_str_mv AT benharratbelaidi growthofsolutionsofcomplexdifferentialequationsinasectoroftheunitdisc