Geodesic
Total positivity of Toeplitz matrices of recursive hypersequences
Ars Mathematica Contemporanea, Tome 17 (2019) no. 1, pp. 125-139.

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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.
DOI : 10.26493/1855-3974.1526.b8d
Keywords: Total positivity, totally positive matrix, Toeplitz matrix, Hankel matrix, hyperfibonacci sequence, log-concavity 
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Tomislav Došlić; Ivica Martinjak; Riste Škrekovski. Total positivity of Toeplitz matrices of recursive hypersequences. Ars Mathematica Contemporanea, Tome 17 (2019) no. 1, pp. 125-139. doi : 10.26493/1855-3974.1526.b8d. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1526.b8d/

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