Differential equations for p, q-Touchard polynomials
In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-01-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2016-0082 |
| _version_ | 1818908983312777216 |
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| author | Kim Taekyun Herscovici Orli Mansour Toufik Rim Seog-Hoon |
| author_facet | Kim Taekyun Herscovici Orli Mansour Toufik Rim Seog-Hoon |
| author_sort | Kim Taekyun |
| collection | DOAJ |
| description | In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated. |
| first_indexed | 2024-12-19T22:19:41Z |
| format | Article |
| id | doaj.art-5d74f91ef9c1468ead850a13ce07e3d4 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-19T22:19:41Z |
| publishDate | 2016-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-5d74f91ef9c1468ead850a13ce07e3d42022-12-21T20:03:40ZengDe GruyterOpen Mathematics2391-54552016-01-0114190891210.1515/math-2016-0082math-2016-0082Differential equations for p, q-Touchard polynomialsKim Taekyun0Herscovici Orli1Mansour Toufik2Rim Seog-Hoon3Department of Mathematics, College of Science, Tianjin Polytechnic University Tianjin City, 300387, ChinaDepartment of Mathematics, University of Haifa, 3498838 Haifa, IsraelDepartment of Mathematics, University of Haifa, 3498838 Haifa, IsraelDepartment of Mathematics Education, Kyungpook National University, Taegu, South Korea (Republic of)In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.https://doi.org/10.1515/math-2016-0082exponential polynomialsordered partitionstouchard polynomials05a1805a48llb48llb47 |
| spellingShingle | Kim Taekyun Herscovici Orli Mansour Toufik Rim Seog-Hoon Differential equations for p, q-Touchard polynomials Open Mathematics exponential polynomials ordered partitions touchard polynomials 05a18 05a48 llb48 llb47 |
| title | Differential equations for p, q-Touchard polynomials |
| title_full | Differential equations for p, q-Touchard polynomials |
| title_fullStr | Differential equations for p, q-Touchard polynomials |
| title_full_unstemmed | Differential equations for p, q-Touchard polynomials |
| title_short | Differential equations for p, q-Touchard polynomials |
| title_sort | differential equations for p q touchard polynomials |
| topic | exponential polynomials ordered partitions touchard polynomials 05a18 05a48 llb48 llb47 |
| url | https://doi.org/10.1515/math-2016-0082 |
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