Umbral Interpolation: A Survey
A survey on recent umbral polynomial interpolation is presented. Some new results are given, following a matrix-determinant approach. Some theoretical and numerical examples are provided.
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MDPI AG
2025-01-01
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Online Access: | https://www.mdpi.com/2227-7390/13/2/271 |
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author | Francesco Aldo Costabile Maria Italia Gualtieri Anna Napoli |
author_facet | Francesco Aldo Costabile Maria Italia Gualtieri Anna Napoli |
author_sort | Francesco Aldo Costabile |
collection | DOAJ |
description | A survey on recent umbral polynomial interpolation is presented. Some new results are given, following a matrix-determinant approach. Some theoretical and numerical examples are provided. |
format | Article |
id | doaj-art-033011f5de9f47a7b489cc62baf08f2d |
institution | Kabale University |
issn | 2227-7390 |
language | English |
publishDate | 2025-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj-art-033011f5de9f47a7b489cc62baf08f2d2025-01-24T13:39:59ZengMDPI AGMathematics2227-73902025-01-0113227110.3390/math13020271Umbral Interpolation: A SurveyFrancesco Aldo Costabile0Maria Italia Gualtieri1Anna Napoli2Department of Mathematics and Computer Science, University of Calabria, 87036 Arcavacata, ItalyDepartment of Mathematics and Computer Science, University of Calabria, 87036 Arcavacata, ItalyDepartment of Mathematics and Computer Science, University of Calabria, 87036 Arcavacata, ItalyA survey on recent umbral polynomial interpolation is presented. Some new results are given, following a matrix-determinant approach. Some theoretical and numerical examples are provided.https://www.mdpi.com/2227-7390/13/2/271polynomial interpolationumbral calculusumbral interpolationdeterminant formAppell sequencedelta-operator |
spellingShingle | Francesco Aldo Costabile Maria Italia Gualtieri Anna Napoli Umbral Interpolation: A Survey Mathematics polynomial interpolation umbral calculus umbral interpolation determinant form Appell sequence delta-operator |
title | Umbral Interpolation: A Survey |
title_full | Umbral Interpolation: A Survey |
title_fullStr | Umbral Interpolation: A Survey |
title_full_unstemmed | Umbral Interpolation: A Survey |
title_short | Umbral Interpolation: A Survey |
title_sort | umbral interpolation a survey |
topic | polynomial interpolation umbral calculus umbral interpolation determinant form Appell sequence delta-operator |
url | https://www.mdpi.com/2227-7390/13/2/271 |
work_keys_str_mv | AT francescoaldocostabile umbralinterpolationasurvey AT mariaitaliagualtieri umbralinterpolationasurvey AT annanapoli umbralinterpolationasurvey |