Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials

DOI10.1142/S1793557122501194zbMath1491.11023MaRDI QIDQ5083066

Engin Özkan, Bahar Kuloǧlu, Mine Uysal

Publication date: 21 June 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hankel transformgenerating functionBinet formula\(h(x)\)-Jacobsthal polynomialsincomplete \(h(x)\)-Jacobsthal polynomials

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

d-Gaussian Pell polynomials and their matrix representation

Uses Software

• OEIS

Cites Work

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• Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
• Applications of Fibonacci sequences in a finite nilpotent group.
• Generating functions of the incomplete Fibonacci and Lucas numbers
• Incomplete Fibonacci and Lucas numbers
• CATALAN TRANSFORM OF THE κ-FIBONACCI SEQUENCE
• Incomplete Generalized Fibonacci and Lucas Polynomials
• The Hankel transform of the sum of consecutive generalized Catalan numbers
• On Generalized Jacobsthal and Jacobsthal-Lucas polynomials
• On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials
• On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications
• On some identities for k-Jacobsthal numbers

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