On recursive hyperbolic functions in Fibonacci-Lucas sense

DOI10.15672/HUJMS.536435zbMath1499.11056OpenAlexW3037752245WikidataQ115513505 ScholiaQ115513505MaRDI QIDQ5164268

Zafer Ünal, Tuncay Deniz Şentürk, Ahmet Daşdemir

Publication date: 10 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.536435

zbMATH Keywords

Honsberger formulaHoradam hyperbolic functionHoradam spiralquasi-sine Horadam functionVajda's identity

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• The \(k\)-Fibonacci hyperbolic functions
• On a new class of hyperbolic functions
• Generating functions for powers of a certain generalized sequence of numbers
• The ``golden hyperbolic models of Universe
• On the Fibonacci \(k\)-numbers
• The Golden Shofar
• Fibonacci and Lucas Numbers With Applications
• Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry
• A Generalized Fibonacci Sequence

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