The $t$-successive associated Stirling numbers, $t$-Fibonacci--Stirling numbers, and unimodality | Zendy

Hacène Belbachir | Zendy; Assia Fettouma Tebtoub | Zendy

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

Author(s) -

Hacène Belbachir,

Assia Fettouma Tebtoub

Publication year - 2017

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1506-83

Subject(s) - stirling numbers of the first kind , unimodality , stirling number , stirling numbers of the second kind , mathematics , fibonacci number , stirling engine , combinatorics , bell polynomials , recurrence relation , generating function , sequence (biology) , function (biology) , discrete mathematics , physics , thermodynamics , genetics , evolutionary biology , biology

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

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