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, Spain, 1 - 02 July 2021, vol.384, pp.159-165 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 384
  • Doi Number: 10.1007/978-3-030-96401-6_14
  • City: Salamanca
  • Country: Spain
  • Page Numbers: pp.159-165
  • Keywords: Complex number, Fibonacci sequence, Harmonic number
  • Ankara Haci Bayram Veli University Affiliated: No

Abstract

© 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.