Mathematics (Apr 2021)

General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints

  • Francesco Aldo Costabile,
  • Maria Italia Gualtieri,
  • Anna Napoli

DOI
https://doi.org/10.3390/math9090964
Journal volume & issue
Vol. 9, no. 9
p. 964

Abstract

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An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties. Some applications to linear functional and linear interpolation are sketched. New and known examples of bivariate Appell polynomial sequences are given.

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