Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc

In this article, we study the growth of solutions of homogeneous linear differential equation in which the coefficients are analytic functions of [p,q]-order in the unit disc. We obtain results about the (lower) [p,q]-order of the solutions, and the (lower) [p,q]-convergence exponent for the s...

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Main Authors:	Hui Hu, Xiu-Min Zheng
Format:	Article
Language:	English
Published:	Texas State University 2014-09-01
Series:	Electronic Journal of Differential Equations
Subjects:	Unit disc analytic function (lower) [p,q]-order (lower) [p,q]-type (lower) [p,q]-convergence exponent
Online Access:	http://ejde.math.txstate.edu/Volumes/2014/204/abstr.html

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spelling	doaj-d62fc7d664ee4904a487db1a1402ca8f2020-11-25T00:27:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-09-012014204,112Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit discHui Hu0Xiu-Min Zheng1 Jiangxi Normal Univ., China Jiangxi Normal Univ., China In this article, we study the growth of solutions of homogeneous linear differential equation in which the coefficients are analytic functions of [p,q]-order in the unit disc. We obtain results about the (lower) [p,q]-order of the solutions, and the (lower) [p,q]-convergence exponent for the sequence of distinct zeros of $f(z)-\varphi(z)$.http://ejde.math.txstate.edu/Volumes/2014/204/abstr.htmlUnit discanalytic function(lower) [p,q]-order(lower) [p,q]-type(lower) [p,q]-convergence exponent
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hui Hu Xiu-Min Zheng
spellingShingle	Hui Hu Xiu-Min Zheng Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc Electronic Journal of Differential Equations Unit disc analytic function (lower) [p,q]-order (lower) [p,q]-type (lower) [p,q]-convergence exponent
author_facet	Hui Hu Xiu-Min Zheng
author_sort	Hui Hu
title	Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc
title_short	Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc
title_full	Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc
title_fullStr	Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc
title_full_unstemmed	Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc
title_sort	growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2014-09-01
description	In this article, we study the growth of solutions of homogeneous linear differential equation in which the coefficients are analytic functions of [p,q]-order in the unit disc. We obtain results about the (lower) [p,q]-order of the solutions, and the (lower) [p,q]-convergence exponent for the sequence of distinct zeros of $f(z)-\varphi(z)$.
topic	Unit disc analytic function (lower) [p,q]-order (lower) [p,q]-type (lower) [p,q]-convergence exponent
url	http://ejde.math.txstate.edu/Volumes/2014/204/abstr.html
work_keys_str_mv	AT huihu growthofsolutionsoflineardifferentialequationswithanalyticcoefficientsofpqorderintheunitdisc AT xiuminzheng growthofsolutionsoflineardifferentialequationswithanalyticcoefficientsofpqorderintheunitdisc
_version_	1725337429509931008

Growth of solutions of linear differential equations with analytic coefficients of [p,q]-order in the unit disc

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