DOAJ Open Access 2022

General Odd and Even Central Factorial Polynomial Sequences

Francesco Aldo Costabile Maria Italia Gualtieri Anna Napoli

Abstrak

The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>δ</mi><mn>2</mn></msup><mrow><mo>(</mo><mo>·</mo><mo>)</mo></mrow></mrow></semantics></math></inline-formula> operator, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>δ</mi><mo>(</mo><mo>·</mo><mo>)</mo></mrow></semantics></math></inline-formula> 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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Francesco Aldo Costabile

Maria Italia Gualtieri

Anna Napoli

Format Sitasi

APA MLA BibTeX

Costabile, F.A., Gualtieri, M.I., Napoli, A. (2022). General Odd and Even Central Factorial Polynomial Sequences. https://doi.org/10.3390/math10060978

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.3390/math10060978
Akses: Open Access ✓