A determinantal approach to Appell polynomials

  • Authors:
  • F. A. Costabile;E. Longo

  • Affiliations:
  • Department of Mathematics, University of Calabria, Italy;Department of Mathematics, University of Calabria, Italy

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2010

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Abstract

A new definition by means of a determinantal form for Appell (1880) [1] polynomials is given. General properties, some of them new, are proved by using elementary linear algebra tools. Finally classic and non-classic examples are considered and the coefficients, calculated by an ad hoc Mathematica code, for particular sequences of Appell polynomials are given.