GAUSSIAN BALANCING NUMBERS AND GAUSSIAN LUCAS-BALANCING NUMBERS

TAŞCI D.

JOURNAL OF SCIENCE AND ARTS, sa.3, ss.661-666, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.661-666
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study we define Gaussian balancing numbers and Gaussian Lucas-balancing numbers. Then we obtain Binet-like formulas, generating functions and some identities related with Gaussian balancing numbers and Gaussian Lucas-balancing numbers. Moreover, we give the new properties of Gaussian balancing numbers and Gaussian Lucas-balancing numbers in relation with balancing matrix formula.