Umbral Interpolation: A Survey

Francesco Aldo Costabile, Maria Italia Gualtieri and Anna Napoli ()
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Francesco Aldo Costabile: Department of Mathematics and Computer Science, University of Calabria, 87036 Arcavacata, Italy
Maria Italia Gualtieri: Department of Mathematics and Computer Science, University of Calabria, 87036 Arcavacata, Italy
Anna Napoli: Department of Mathematics and Computer Science, University of Calabria, 87036 Arcavacata, Italy

Mathematics, 2025, vol. 13, issue 2, 1-29

Abstract: 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.

Keywords: polynomial interpolation; umbral calculus; umbral interpolation; determinant form; Appell sequence; delta-operator; Sheffer sequence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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