MERSENNE-LUCAS HYBRID NUMBERS

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Özkan E., Uysal M.

MATHEMATICA MONTISNIGRI, cilt.52, ss.17-29, 2021 (Hakemli Dergi)

  • 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: MathSciNet, zbMATH
  • Sayfa Sayıları: ss.17-29
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

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.