MERSENNE-LUCAS HYBRID NUMBERS

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ÖZKAN E., UYSAL M.

Mathematica Montisnigri, cilt.52, ss.17-29, 2021 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52
  • Basım Tarihi: 2021
  • Doi Numarası: 10.20948/mathmontis-2021-52-2
  • Dergi Adı: Mathematica Montisnigri
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.17-29
  • Anahtar Kelimeler: Binet formula, Cassini identity, Catalan identity, Generating function, Mersenne hybrid numbers, Mersenne-Lucas hybrid numbers
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Marmara Üniversitesi Adresli: Hayır

Özet

We introduce Mersenne-Lucas hybrid numbers. We give the Binet formula, the generating function, the sum, the character, the norm and the vector representation of these numbers. We find some relations among Mersenne-Lucas hybrid numbers, Jacopsthal hybrid numbers, Jacopsthal-Lucas hybrid numbers and Mersenne hybrid numbers. Then we present some important identities such as Cassini identities for Mersenne-Lucas hybrid numbers.