Differential equations associated with generalized Bell polynomials and their zeros
In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-01-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2016-0075 |
| _version_ | 1818730725253316608 |
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| author | Ryoo Seoung Cheon |
| author_facet | Ryoo Seoung Cheon |
| author_sort | Ryoo Seoung Cheon |
| collection | DOAJ |
| description | In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations. |
| first_indexed | 2024-12-17T23:06:21Z |
| format | Article |
| id | doaj.art-44e5ef49e3e64e1fb1cd78c79db303e8 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-17T23:06:21Z |
| publishDate | 2016-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-44e5ef49e3e64e1fb1cd78c79db303e82022-12-21T21:29:16ZengDe GruyterOpen Mathematics2391-54552016-01-0114180781510.1515/math-2016-0075math-2016-0075Differential equations associated with generalized Bell polynomials and their zerosRyoo Seoung Cheon0Department of Mathematics, Hannam University, Daejeon 306-791, Korea (Republic of)In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.https://doi.org/10.1515/math-2016-0075differential equationsbell polynomialsgeneralized bell polynomialszeros05a1911b8334a3065l99 |
| spellingShingle | Ryoo Seoung Cheon Differential equations associated with generalized Bell polynomials and their zeros Open Mathematics differential equations bell polynomials generalized bell polynomials zeros 05a19 11b83 34a30 65l99 |
| title | Differential equations associated with generalized Bell polynomials and their zeros |
| title_full | Differential equations associated with generalized Bell polynomials and their zeros |
| title_fullStr | Differential equations associated with generalized Bell polynomials and their zeros |
| title_full_unstemmed | Differential equations associated with generalized Bell polynomials and their zeros |
| title_short | Differential equations associated with generalized Bell polynomials and their zeros |
| title_sort | differential equations associated with generalized bell polynomials and their zeros |
| topic | differential equations bell polynomials generalized bell polynomials zeros 05a19 11b83 34a30 65l99 |
| url | https://doi.org/10.1515/math-2016-0075 |
| work_keys_str_mv | AT ryooseoungcheon differentialequationsassociatedwithgeneralizedbellpolynomialsandtheirzeros |