Generalized Bell Numbers and Peirce Matrix via Pascal Matrix
With the Stirling matrix S and the Pascal matrix T, we show that TkS (k≥0) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of TkS as k-Bell number, we investigate properties of k-Bell numbers as well as k-Peirce matrix.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/9096761 |
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| _version_ | 1849406689659322368 |
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| author | Eunmi Choi |
| author_facet | Eunmi Choi |
| author_sort | Eunmi Choi |
| collection | DOAJ |
| description | With the Stirling matrix S and the Pascal matrix T, we show that TkS (k≥0) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of TkS as k-Bell number, we investigate properties of k-Bell numbers as well as k-Peirce matrix. |
| format | Article |
| id | doaj-art-506b0ca606a84281bef026325cd476df |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-506b0ca606a84281bef026325cd476df2025-08-20T03:36:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/90967619096761Generalized Bell Numbers and Peirce Matrix via Pascal MatrixEunmi Choi0Department of Mathematics, HanNam Univ., Daejeon, Republic of KoreaWith the Stirling matrix S and the Pascal matrix T, we show that TkS (k≥0) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of TkS as k-Bell number, we investigate properties of k-Bell numbers as well as k-Peirce matrix.http://dx.doi.org/10.1155/2018/9096761 |
| spellingShingle | Eunmi Choi Generalized Bell Numbers and Peirce Matrix via Pascal Matrix International Journal of Mathematics and Mathematical Sciences |
| title | Generalized Bell Numbers and Peirce Matrix via Pascal Matrix |
| title_full | Generalized Bell Numbers and Peirce Matrix via Pascal Matrix |
| title_fullStr | Generalized Bell Numbers and Peirce Matrix via Pascal Matrix |
| title_full_unstemmed | Generalized Bell Numbers and Peirce Matrix via Pascal Matrix |
| title_short | Generalized Bell Numbers and Peirce Matrix via Pascal Matrix |
| title_sort | generalized bell numbers and peirce matrix via pascal matrix |
| url | http://dx.doi.org/10.1155/2018/9096761 |
| work_keys_str_mv | AT eunmichoi generalizedbellnumbersandpeircematrixviapascalmatrix |