Some identities of degenerate Daehee numbers arising from nonlinear differential equation
Abstract Recently, Kim and Kim introduced some identities of degenerate Daehee numbers which are derived from nonlinear differential equations (see (Kim and Kim in J. Nonlinear Sci. Appl. 10:744-751, 2017)). From the viewpoint of inversion formula, we study the degenerate Daehee number arising from...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-07-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1265-4 |
| _version_ | 1811334664466464768 |
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| author | Gwan-Woo Jang Jongkyum Kwon Jeong Gon Lee |
| author_facet | Gwan-Woo Jang Jongkyum Kwon Jeong Gon Lee |
| author_sort | Gwan-Woo Jang |
| collection | DOAJ |
| description | Abstract Recently, Kim and Kim introduced some identities of degenerate Daehee numbers which are derived from nonlinear differential equations (see (Kim and Kim in J. Nonlinear Sci. Appl. 10:744-751, 2017)). From the viewpoint of inversion formula, we study the degenerate Daehee number arising from a nonlinear differential equation. In this paper, we obtain the explicit expression of degenerate Daehee numbers from the inversion formula of (Kim and Kim in J. Nonlinear Sci. Appl. 10:744-751, 2017) using the generating function and nonlinear differential equations. |
| first_indexed | 2024-04-13T17:11:27Z |
| format | Article |
| id | doaj.art-071fa820d8494174a4b1749aa9e6d040 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T17:11:27Z |
| publishDate | 2017-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-071fa820d8494174a4b1749aa9e6d0402022-12-22T02:38:15ZengSpringerOpenAdvances in Difference Equations1687-18472017-07-012017111010.1186/s13662-017-1265-4Some identities of degenerate Daehee numbers arising from nonlinear differential equationGwan-Woo Jang0Jongkyum Kwon1Jeong Gon Lee2Department of Mathematics, Kwangwoon UniversityDepartment of Mathematics Education and RINS, Gyeongsang National UniversityDivision of Mathematics and Informational Statistics, Nanoscale Science and Technology Institute, Wonkwang UniversityAbstract Recently, Kim and Kim introduced some identities of degenerate Daehee numbers which are derived from nonlinear differential equations (see (Kim and Kim in J. Nonlinear Sci. Appl. 10:744-751, 2017)). From the viewpoint of inversion formula, we study the degenerate Daehee number arising from a nonlinear differential equation. In this paper, we obtain the explicit expression of degenerate Daehee numbers from the inversion formula of (Kim and Kim in J. Nonlinear Sci. Appl. 10:744-751, 2017) using the generating function and nonlinear differential equations.http://link.springer.com/article/10.1186/s13662-017-1265-4differential equationsdegenerate Daehee numbersStirling numbers |
| spellingShingle | Gwan-Woo Jang Jongkyum Kwon Jeong Gon Lee Some identities of degenerate Daehee numbers arising from nonlinear differential equation Advances in Difference Equations differential equations degenerate Daehee numbers Stirling numbers |
| title | Some identities of degenerate Daehee numbers arising from nonlinear differential equation |
| title_full | Some identities of degenerate Daehee numbers arising from nonlinear differential equation |
| title_fullStr | Some identities of degenerate Daehee numbers arising from nonlinear differential equation |
| title_full_unstemmed | Some identities of degenerate Daehee numbers arising from nonlinear differential equation |
| title_short | Some identities of degenerate Daehee numbers arising from nonlinear differential equation |
| title_sort | some identities of degenerate daehee numbers arising from nonlinear differential equation |
| topic | differential equations degenerate Daehee numbers Stirling numbers |
| url | http://link.springer.com/article/10.1186/s13662-017-1265-4 |
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