Some Characterizations for Harmonic Complex Fibonacci Sequences


Karaca E., YILMAZ F.

2nd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2021, Salamanca, İspanya, 1 - 02 Temmuz 2021, cilt.384, ss.159-165 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 384
  • Doi Numarası: 10.1007/978-3-030-96401-6_14
  • Basıldığı Şehir: Salamanca
  • Basıldığı Ülke: İspanya
  • Sayfa Sayıları: ss.159-165
  • Anahtar Kelimeler: Complex number, Fibonacci sequence, Harmonic number
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.In this study, we define and construct a new number system, called the harmonic complex Fibonacci sequences (HCF), which is inspred by the well-known harmonic and complex numbers in literature. Some algebraic properties are examined in detail. Furthermore, by using generating fuction, Binet formula and Cassini identity are shown.