Total positivity of Toeplitz matrices of recursive hypersequences

Authors

  • Tomislav Došlić University of Zagreb, Croatia
  • Ivica Martinjak University of Zagreb, Croatia
  • Riste Škrekovski University of Ljubljana, Slovenia and Faculty of Information Studies, Slovenia and University of Primorska, Slovenia

DOI:

https://doi.org/10.26493/1855-3974.1526.b8d

Keywords:

Total positivity, totally positive matrix, Toeplitz matrix, Hankel matrix, hyperfibonacci sequence, log-concavity

Abstract

We present a new class of totally positive Toeplitz matrices composed of recently introduced hyperfibonacci numbers of the r-th generation. As a consequence, we obtain that all sequences Fn(r) of hyperfibonacci numbers of r-th generation are log-concave for r ≥ 1 and large enough n.

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Published

2019-09-06

Issue

Vol. 17 No. 1 (2019)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/