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Some Generalized Cassini Identities

The Fibonacci Quarterly
Christian Ballot
exaly   +3 more sources

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106.33 Fibonacci numbers and Cassini’s identity

The Mathematical Gazette, 2022
106.33 Fibonacci numbers and Cassini's identity Introduction It is well known that the Fibonacci numbers , defined by , and , satisfy a large number of identities.
Günhan Caglayan
openaire   +2 more sources

Geometric interpretation of Horadam numbers with characteristic equation x 2 - q x ± 1 = 0 using the Cassini-like identity.

J. Comput. Appl. Math.
İ Öztürk
  +4 more sources

Neafrapus cassini

CABI Compendium, 2022
This datasheet on Neafrapus cassini covers Identity, Distribution.

semanticscholar   +1 more source

The identity of Gynura cavaleriei (Asteraceae: Senecioneae)

Phytotaxa
Gynura Cassini (1825: 391) (Asteraceae: Senecioneae) is a medium-sized genus comprising approximately 45 species (Vanijajiva & Kadereit 2011; van der Ent & Vanijajiva 2014; Li et al. 2022; Calvo et al. 2025; Zhu et al. 2025a, 2025b).
Han Lin, CHUN-LAN Su, Cheng-Sheng Li, Chen Ren   +3 more
semanticscholar   +1 more source

Non-Newtonian Jacobsthal and Jacobsthal-Lucas numbers: A new look

Filomat
In this study, we introduce a novel version of Jacobsthal and Jacobsthal-Lucas numbers, termed as non-Newtonian Jacobsthal and non-Newtonian Jacobsthal-Lucas numbers. We investigate various char-acteristics of these newly defined sequences. Additionally,
İlknur Yeşilyurt, Nilay Değirmen
semanticscholar   +1 more source

Symmetric Inequalities for Reciprocal Sums of Fibonacci Numbers

Symmetry
This paper establishes symmetric inequalities for the reciprocal sums of Fibonacci numbers. By using elementary methods, recurrence properties, Cassini’s identity, and the Fibonacci–Lucas connection, we deduce the precise bounds for these reciprocal sums
Shaofan Cao, Tingting Wang
semanticscholar   +1 more source

Unrestricted Lichtenberg Hybrid Sequences

Mathematical sciences and applications e-notes
This research introduces a novel category of hybrid numbers, with components represented by unrestricted Lichtenberg numbers. We present some recurrence relations, summation formulas, the Binet formula, and the generating function associated with these ...
Gamaliel Morales
semanticscholar   +1 more source

Leonardo Numbers and their Bicomplex Extension

Nepal Journal of Mathematical Sciences
This paper introduces a new type of Leonardo numbers, referred to as bicomplex Leonardoi numbers. Also, some important relations, including the generating function, Binet's formula, D'Ocagne's identity, Cassini’s identity, and Catalan’s identity ...
M. Jaiswal, N. Pahari, Purushottam Parajuli   +2 more
semanticscholar   +1 more source

Hybrid numbers with balancing and Lucas balancing hybrid number coefficients

Communications faculty of sciences university of ankara series a1 mathematics and statistics
In this note, we made a connection between hybrid numbers and hybrid balancing, and hybrid Lucas balancing number. Initially, we obtained for these new number recurrence relation, some important relations among new numbers, and Binet's like formula ...
Murat Turan, Sıddıka Özkaldı Karakuş   +1 more
semanticscholar   +1 more source