Hyperbolic functions obtained from \(k\)-Pell sequences

DOI10.1007/s13370-023-01160-7MaRDI QIDQ6199551

Engin Özkan, Bahar Kuloǧlu

Publication date: 21 March 2024

Published in: Afrika Matematika (Search for Journal in Brave)

zbMATH Keywords

\(k\)-Pell number\(k\)-Pell sequencemetallic shofarsPell hyperbolic function

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• The \(k\)-Fibonacci hyperbolic functions
• The golden mean in quantum geometry, knot theory and related topics
• 3-step Fibonacci sequences in nilpotent groups.
• On a new class of hyperbolic functions
• New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers
• The generalized principle of the Golden Section and its applications in mathematics, science, and engineering
• The Golden Shofar
• Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials
• On some identities for k-Jacobsthal numbers
• On some identities and generating functions for k- Pell numbers

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