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Hybrid numbers with balancing and Lucas balancing hybrid number coefficients.

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Název: Hybrid numbers with balancing and Lucas balancing hybrid number coefficients.
Autoři: TURAN, Murat1 muratturan@osmaniye.edu.tr, ÖZKALDI KARAKUŞ, Sıddıka2 siddika.karakus@bilecik.edu.tr
Zdroj: Communications Series A1 Mathematics & Statistics. 2025, Vol. 74 Issue 3, p395-402. 8p.
Témata: *RECURSIVE sequences (Mathematics), *IDENTITIES (Mathematics), *MATHEMATICAL sequences, *MATHEMATICAL formulas, *MATHEMATICS
Abstrakt: 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. Afterwards, using Binet's like formula, we obtained some identities such as D'ocagne's identity, Honsberger identity, Catalan identity, and Cassini identity. [ABSTRACT FROM AUTHOR]
Databáze: Academic Search Index
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Abstrakt: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. Afterwards, using Binet's like formula, we obtained some identities such as D'ocagne's identity, Honsberger identity, Catalan identity, and Cassini identity. [ABSTRACT FROM AUTHOR]
ISSN:13035991
DOI:10.31801/cfsuasmas.1561936