Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1506-83
Keywords
$t$-Successive associated Stirling numbers, recurrence relations, generating function, log-concavity, unimodality
First Page
1279
Last Page
1291
Recommended Citation
BELBACHIR, H, & TEBTOUB, A (2017). The $t$-successive associated Stirling numbers, $t$-Fibonacci--Stirling numbers, and unimodality. Turkish Journal of Mathematics 41 (5): 1279-1291. https://doi.org/10.3906/mat-1506-83
