General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints

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 Rende (CS), Italy
Maria Italia Gualtieri: Department of Mathematics and Computer Science, University of Calabria, 87036 Rende (CS), Italy
Anna Napoli: Department of Mathematics and Computer Science, University of Calabria, 87036 Rende (CS), Italy

Mathematics, 2021, vol. 9, issue 9, 1-29

Abstract: 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.

Keywords: Polynomial sequences; Appell polynomials; bivariate Appell sequence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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