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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2014-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/204/abstr.html |
| _version_ | 1818205644809830400 |
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| author | Hui Hu Xiu-Min Zheng |
| author_facet | Hui Hu Xiu-Min Zheng |
| author_sort | Hui Hu |
| collection | DOAJ |
| 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 $f(z)-\varphi(z)$. |
| first_indexed | 2024-12-12T04:00:25Z |
| format | Article |
| id | doaj.art-d62fc7d664ee4904a487db1a1402ca8f |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T04:00:25Z |
| publishDate | 2014-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d62fc7d664ee4904a487db1a1402ca8f2022-12-22T00:39:05ZengTexas 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 |
| 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 |
| title | 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_short | 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 |
| 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 |