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Article detail · 2025

Hybrid numbers with balancing and Lucas balancing hybrid number coefficients

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

YÖKSİS OpenAlex Open access · diamond JCR Q2 TR Index Citations 0 Percentile 15.7% FWCI 0.0
Year
2025
ISSN
1303-5991
Type
article

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Abstract

English (OpenAlex)

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.

Topics

  • Advanced Mathematical Theories and Applications
  • Chaos-based Image/Signal Encryption
  • Advanced Mathematical Identities

Primary topic Advanced Mathematical Theories and Applications

Authors

  1. MURAT TURAN OSMANİYE KORKUT ATA ÜNİVERSİTESİ
  2. SIDDIKA ÖZKALDI KARAKUŞ BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ