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Some Characterizations for Harmonic Complex Fibonacci Sequences

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Mathematical Methods for Engineering Applications (ICMASE 2021)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 384))

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Ankara Haci Bayram Veli University, Ankara, Turkey

    Emel Karaca & Fatih Yilmaz

Authors
  1. Emel Karaca
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  2. Fatih Yilmaz
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Corresponding author

Correspondence to Emel Karaca .

Editor information

Editors and Affiliations

  1. Faculty of Arts and Sciences, Ankara Hacı Bayram Veli University, Ankara, Turkey

    Fatih Yilmaz

  2. Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain

    Araceli Queiruga-Dios

  3. Faculty of Sciences, University of Salamanca, Salamanca, Spain

    María Jesús Santos Sánchez

  4. Polytechnic Institute of Coimbra (ISEC), Coimbra, Portugal

    Deolinda Rasteiro

  5. Institute of Physical and Information Technologies (ITEFI), Spanish National Research Council (CSIC), Madrid, Spain

    Víctor Gayoso Martínez

  6. Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain

    Jesús Martín Vaquero

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Karaca, E., Yilmaz, F. (2022). Some Characterizations for Harmonic Complex Fibonacci Sequences. In: Yilmaz, F., Queiruga-Dios, A., Santos Sánchez, M.J., Rasteiro, D., Gayoso Martínez, V., Martín Vaquero, J. (eds) Mathematical Methods for Engineering Applications. ICMASE 2021. Springer Proceedings in Mathematics & Statistics, vol 384. Springer, Cham. https://doi.org/10.1007/978-3-030-96401-6_14

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