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, HACENE and TEBTOUB, ASSIA-FETTOUMA
(2017)
"The $t$-successive associated Stirling numbers, $t$-Fibonacci--Stirling numbers, and unimodality,"
Turkish Journal of Mathematics: Vol. 41:
No.
5, Article 17.
https://doi.org/10.3906/mat-1506-83
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss5/17
