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6. 9. 2019.
Total positivity of Toeplitz matrices of recursive hypersequences
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 F n ( r ) of hyperfibonacci numbers of r -th generation are log-concave for r ≥ 1 and large enough n .