Linear differential equations for families of polynomials
Abstract In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1038-8 |
| _version_ | 1811324684219711488 |
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| author | Taekyun Kim Dae San Kim Toufik Mansour Jong-Jin Seo |
| author_facet | Taekyun Kim Dae San Kim Toufik Mansour Jong-Jin Seo |
| author_sort | Taekyun Kim |
| collection | DOAJ |
| description | Abstract In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case. |
| first_indexed | 2024-04-13T14:19:54Z |
| format | Article |
| id | doaj.art-7fdfbb4ae8fb4eafa43225a74aea67ed |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T14:19:54Z |
| publishDate | 2016-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-7fdfbb4ae8fb4eafa43225a74aea67ed2022-12-22T02:43:32ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-03-01201611810.1186/s13660-016-1038-8Linear differential equations for families of polynomialsTaekyun Kim0Dae San Kim1Toufik Mansour2Jong-Jin Seo3Department of Mathematics, Kwangwoon UniversityDepartment of Mathematics, Sogang UniversityDepartment of Mathematics, University of HaifaDepartment of Applied Mathematics, Pukyong National UniversityAbstract In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case.http://link.springer.com/article/10.1186/s13660-016-1038-8actuarial polynomialsMeixner polynomialsPoisson-Charlier polynomials |
| spellingShingle | Taekyun Kim Dae San Kim Toufik Mansour Jong-Jin Seo Linear differential equations for families of polynomials Journal of Inequalities and Applications actuarial polynomials Meixner polynomials Poisson-Charlier polynomials |
| title | Linear differential equations for families of polynomials |
| title_full | Linear differential equations for families of polynomials |
| title_fullStr | Linear differential equations for families of polynomials |
| title_full_unstemmed | Linear differential equations for families of polynomials |
| title_short | Linear differential equations for families of polynomials |
| title_sort | linear differential equations for families of polynomials |
| topic | actuarial polynomials Meixner polynomials Poisson-Charlier polynomials |
| url | http://link.springer.com/article/10.1186/s13660-016-1038-8 |
| work_keys_str_mv | AT taekyunkim lineardifferentialequationsforfamiliesofpolynomials AT daesankim lineardifferentialequationsforfamiliesofpolynomials AT toufikmansour lineardifferentialequationsforfamiliesofpolynomials AT jongjinseo lineardifferentialequationsforfamiliesofpolynomials |