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Bi-Periodic Pell Sequence

Author

Listed:
  • S. Uygun*

    (Department of Mathematics - Faculty of Science and Arts, Gaziantep University, 27310, Gaziantep, Turkey)

  • H. Karata?

    (Department of Mathematics - Faculty of Science and Arts, Gaziantep University, 27310, Gaziantep, Turkey)

Abstract

In this study, we introduce a new generalization of the Pell numbers which is called bi-periodic Pell sequences. We then proceed to find the Binet formula as well as the generating function for this sequence. The well-known Cassini, Catalan and the D’ocagne’s identities as well as some related binomial summation and sum formulas are also given. The convergence properties of the consecutive terms of this sequence is also examined.

Suggested Citation

  • S. Uygun* & H. Karata?, 2020. "Bi-Periodic Pell Sequence," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 6(7), pages 136-144, 07-2020.
    • Handle: RePEc:arp:ajoams:2020:p:136-144
    DOI: 10.32861/ajams.67.136.144
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