engleski

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 $r \geq 1$ and large enough $n$.

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

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