Total positivity of Toeplitz matrices of recursive hypersequences
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
DOI: https://doi.org/10.26493/1855-3974.1526.b8d
ISSN: 1855-3974
Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications