EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 96[110], pp. 67–83 (2014)

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AN ALGEBRAIC EXPOSITION OF UMBRAL CALCULUS WITH APPLICATION TO GENERAL LINEAR INTERPOLATION PROBLEM – A SURVEY

Francesco Aldo Costabile and Elisabetta Longo

Department of Mathematics, University of Calabria, Rende, Italy

Abstract: A systematic exposition of Sheffer polynomial sequences via determinantal form is given. A general linear interpolation problem related to Sheffer sequences is considered. It generalizes many known cases of linear interpolation. Numerical examples and conclusions close the paper.

Keywords: Sheffer, Appell, binomial, umbral, determinant, interpolation

Classification (MSC2000): 11B83; 65F40; 11B83; 65F40

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Electronic fulltext finalized on: 30 Oct 2014. This page was last modified: 24 Nov 2014.

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