Generalized Cassini identities via the generalized Fibonacci fundamental system. Applications

Generalized Cassini identities via the generalized Fibonacci fundamental system. Applications

In this paper we explore the generalized Cassini identities for the weighted generalized Fibonacci sequences, through the associated generalized Fibonacci fundamental system. Some algebraic, combinatoric and analytic properties of these identities are established. Applications to generalized Fibonac...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2024-12, Vol.55 (4), p.1234-1250
Hauptverfasser: Craveiro, I. M., Pereira Spreafico, E. V., Rachidi, M.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Fibonacci numbers
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Sequences
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Zusammenfassung:In this paper we explore the generalized Cassini identities for the weighted generalized Fibonacci sequences, through the associated generalized Fibonacci fundamental system. Some algebraic, combinatoric and analytic properties of these identities are established. Applications to generalized Fibonacci and Pell numbers are provided, and some special cases are studied.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-023-00430-1