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An algebraic exposition of umbral calculus with application to general linear interpolation problem: A survey

Costabile Francesco Aldo (University of Calabria, Department of Mathematics, Rende, Italy)
Longo Elisabetta (University of Calabria, Department of Mathematics, Rende, Italy)

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