scientific article; zbMATH DE number 7372002

zbMath1465.11063MaRDI QIDQ5000780

Yüksel Soykan

Publication date: 15 July 2021

Full work available at URL: http://www.ijaamm.com/uploads/2/1/4/8/21481830/v8n1p1_1-14.pdf

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zbMATH Keywords

generalized Fibonacci numbers\((r,s)\)-numbersLucas \((r,s)\) numbers

Mathematics Subject Classification ID

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

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Uses Software

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Cites Work

• On the sum of Pell and Jacobsthal numbers by matrix method
• A matrix approach for general higher order linear recurrences
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• Generating functions for powers of a certain generalized sequence of numbers
• Formulae for sums of Jacobsthal-Lucas numbers
• Simson Identity of Generalized m-step Fibonacci Numbers
• Pell and Pell–Lucas Numbers with Applications
• A Generalized Fibonacci Sequence
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