Total positivity of Toeplitz matrices of recursive hypersequences

Tomislav Došlić, Ivica Martinjak, Riste Škrekovski

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.


Keywords


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

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

ISSN: 1855-3974

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