scientific article; zbMATH DE number 7603453

MaRDI QIDQ5041846

Engin Özkan, Merve Taştan, Nazmiye Yilmaz

Publication date: 18 October 2022

Full work available at URL: http://math-frac.org/Journals/EJMAA/Vol10(1)_Jan_2022/Vol10%281%29_Papers/5%29%20%20Vol.%2010%281%29%20Jan.%202022%2C%20pp.%2064-70..pdf

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zbMATH Keywords

generating functionFibonacci numberCassini identityHoradam numbera new family of Fibonacci numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Cites Work

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• A note on generalized \(k\)-Horadam sequence
• On the geometry of certain periodic non-homogeneous Horadam sequences
• A generalization of Fibonacci and Lucas matrices
• A new family of \(k\)-Fibonacci numbers
• On the ratios and geometric boundaries of complex Horadam sequences
• On the Fibonacci \(k\)-numbers
• On the representation of \(k\)-generalized Fibonacci and Lucas numbers
• On the properties of new families of generalized Fibonacci numbers

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