HACENE BELBACHIR, ASSIA-FETTOUMA TEBTOUB

8291

The t-successive associated Stirling numbers, t-Fibonacci–Stirling numbers, and unimodality

Using a combinatorial approach, we introduce the \textit{$t$-successive associated Stirling numbers} and we give the recurrence relation and the generating function. We also establish the unimodality of sequence $\genfrac{\{}{\}}{0pt}{}{n-2k}{k}_{k}$ lying over a ray of the second kind's Stirling triangle. Some combinatorial identities are given.

Keywords:

$t$-Successive associated Stirling numbers, recurrence relations, generating function log-concavity, unimodality,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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