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The (s, t)-Generalized Jacobsthal Matrix Sequences

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Book cover Computational Analysis

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 155))

Abstract

In this study, we consider sequences named (s, t)-Jacobsthal, (s, t)-Jacobsthal–Lucas and defined generalized (s, t)-Jacobsthal integer sequences. After that, by using these sequences, we define generalized (s, t)-Jacobsthal matrix sequence in which it generalizes (s, t)-Jacobsthal matrix sequence, (s, t)-Jacobsthal–Lucas matrix sequence at the same time. Finally we investigate some properties of the sequence and present some important relationship among (s, t)-Jacobsthal matrix sequence, (s, t)-Jacobsthal–Lucas matrix sequence and generalized (s, t)-Jacobsthal matrix sequence.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Gaziantep University, Gaziantep, Turkey

    Şükran Uygun

  2. Department of Mathematics, Selcuk University, Konya, Turkey

    Kemal Uslu

Authors
  1. Şükran Uygun
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  2. Kemal Uslu
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Corresponding author

Correspondence to Şükran Uygun .

Editor information

Editors and Affiliations

  1. Dept of Mathematical Sciences, University of Memphis, Memphis, Tennessee, USA

    George A. Anastassiou

  2. Department of Mathematics, TOBB Univ. of Economics and Technology, Ankara, Ankara, Turkey

    Oktay Duman

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Uygun, Ş., Uslu, K. (2016). The (s, t)-Generalized Jacobsthal Matrix Sequences. In: Anastassiou, G., Duman, O. (eds) Computational Analysis. Springer Proceedings in Mathematics & Statistics, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-319-28443-9_23

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