Growth of transcendental solutions to higher-order linear differential equations with entire coefficients
In this article, we study the growth of transcendental solutions of certain higher order linear differential equations with entire coefficients. Under some conditions, we prove that every transcendental solution is of infinite order. We also give an estimate of its hyper-order. We improve previou...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-07-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/182/abstr.html |
| _version_ | 1819204872998748160 |
|---|---|
| author | Karima Hamani |
| author_facet | Karima Hamani |
| author_sort | Karima Hamani |
| collection | DOAJ |
| description | In this article, we study the growth of transcendental solutions
of certain higher order linear differential equations with entire coefficients.
Under some conditions, we prove that every transcendental solution is of infinite
order. We also give an estimate of its hyper-order. We improve previous
results by Peng and Chen [14]. |
| first_indexed | 2024-12-23T04:42:43Z |
| format | Article |
| id | doaj.art-0f58b29d1f3c48c3a2b1aab28fe637a3 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-23T04:42:43Z |
| publishDate | 2016-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-0f58b29d1f3c48c3a2b1aab28fe637a32022-12-21T17:59:45ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-07-012016182,18Growth of transcendental solutions to higher-order linear differential equations with entire coefficientsKarima Hamani0 Univ. of Mostaganem, Mostaganem, Algeria In this article, we study the growth of transcendental solutions of certain higher order linear differential equations with entire coefficients. Under some conditions, we prove that every transcendental solution is of infinite order. We also give an estimate of its hyper-order. We improve previous results by Peng and Chen [14].http://ejde.math.txstate.edu/Volumes/2016/182/abstr.htmlLinear differential equationtranscendental entire functionorder of growthhyper-order |
| spellingShingle | Karima Hamani Growth of transcendental solutions to higher-order linear differential equations with entire coefficients Electronic Journal of Differential Equations Linear differential equation transcendental entire function order of growth hyper-order |
| title | Growth of transcendental solutions to higher-order linear differential equations with entire coefficients |
| title_full | Growth of transcendental solutions to higher-order linear differential equations with entire coefficients |
| title_fullStr | Growth of transcendental solutions to higher-order linear differential equations with entire coefficients |
| title_full_unstemmed | Growth of transcendental solutions to higher-order linear differential equations with entire coefficients |
| title_short | Growth of transcendental solutions to higher-order linear differential equations with entire coefficients |
| title_sort | growth of transcendental solutions to higher order linear differential equations with entire coefficients |
| topic | Linear differential equation transcendental entire function order of growth hyper-order |
| url | http://ejde.math.txstate.edu/Volumes/2016/182/abstr.html |
| work_keys_str_mv | AT karimahamani growthoftranscendentalsolutionstohigherorderlineardifferentialequationswithentirecoefficients |