General Odd and Even Central Factorial Polynomial Sequences

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, 2022, vol. 10, issue 6, 1-22

Abstract: The δ 2 ( · ) operator, where δ ( · ) is the known central difference operator, is considered. The associated odd and even polynomial sequences are determined and their generalizations studied. Particularly, matrix and determinant forms, recurrence formulas, generating functions and an algorithm for effective calculation are provided. An interesting property of biorthogonality is also demonstrated. New examples of odd and even central polynomial sequences are given.

Keywords: polynomial sequences; central factorial polynomials; odd and even polynomials; discrete operators; Hessenberg determinant; recurrence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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