Integer composition, connection Appell constants and Bell polynomials
We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants. Generalizing, we give an explicit form of the connection coefficients for arbitrary polynomial sequences and constitute the combinatorial meaning of both con...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2021-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1245 |
| _version_ | 1827195605795995648 |
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| author | Nataliia Luno |
| author_facet | Nataliia Luno |
| author_sort | Nataliia Luno |
| collection | DOAJ |
| description |
We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants.
Generalizing, we give an explicit form of the connection coefficients for arbitrary polynomial sequences and constitute the combinatorial meaning of both constants in terms of integer composition.
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| first_indexed | 2024-03-12T21:05:57Z |
| format | Article |
| id | doaj.art-4df854378749499da801c51d52eb54ec |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2025-03-21T09:32:00Z |
| publishDate | 2021-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-4df854378749499da801c51d52eb54ec2024-07-07T16:43:37ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2021-12-01502Integer composition, connection Appell constants and Bell polynomialsNataliia Luno0V.Stus' Donetsk University, Ukraine We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants. Generalizing, we give an explicit form of the connection coefficients for arbitrary polynomial sequences and constitute the combinatorial meaning of both constants in terms of integer composition. https://ictp.acad.ro/jnaat/journal/article/view/1245Appell polynomialsgenerating functionsconnection coefficientsinteger compositionconnection problemsBell polynomials |
| spellingShingle | Nataliia Luno Integer composition, connection Appell constants and Bell polynomials Journal of Numerical Analysis and Approximation Theory Appell polynomials generating functions connection coefficients integer composition connection problems Bell polynomials |
| title | Integer composition, connection Appell constants and Bell polynomials |
| title_full | Integer composition, connection Appell constants and Bell polynomials |
| title_fullStr | Integer composition, connection Appell constants and Bell polynomials |
| title_full_unstemmed | Integer composition, connection Appell constants and Bell polynomials |
| title_short | Integer composition, connection Appell constants and Bell polynomials |
| title_sort | integer composition connection appell constants and bell polynomials |
| topic | Appell polynomials generating functions connection coefficients integer composition connection problems Bell polynomials |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1245 |
| work_keys_str_mv | AT nataliialuno integercompositionconnectionappellconstantsandbellpolynomials |