- Turkish Journal of Mathematics
- Vol: 41 Issue: 5
- The t-successive associated Stirling numbers, t-Fibonacci–Stirling numbers, and unimodality
The t-successive associated Stirling numbers, t-Fibonacci–Stirling numbers, and unimodality
Authors : Hacene Belbachir, Assia-fettouma Tebtoub
Pages : 1279-1291
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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