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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Main Authors: Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
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