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Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 04/2018, Volume 12, Issue 1, pp. 178 - 191
We define the (q, alpha)-Whitney numbers which are reduced to the a -Whitney numbers when q -> 1. Moreover, we obtain several properties of these numbers such... 
(q, α)-Whitney numbers | α-Whitney-Lah numbers | α-Whitney numbers | Q-Stirling numbers | R-Whitney numbers | alpha -Whitney numbers | MATHEMATICS | q-Stirling numbers | MATHEMATICS, APPLIED | alpha-Whitney-Lah numbers | (q, alpha)-Whitney numbers | BERNOULLI POLYNOMIALS | r-Whitney numbers
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2012, Volume 312, Issue 15, pp. 2337 - 2348
Let G be a finite group of order m≥1. A Dowling lattice Qn(G) is the geometric lattice of rank n over G. In this paper, we define the r-Whitney numbers of the... 
Lah numbers | Whitney numbers | Dowling lattice | [formula omitted]-Stirling numbers | Dowling polynomials | Riordan group | r-Stirling numbers | MATHEMATICS | RIORDAN ARRAYS | Statistics | Questions and answers
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 02/2019, Volume 255, pp. 222 - 233
T. A. Dowling introduced Whitney numbers of the first and second kinds concerning the so-called Dowling lattices of finite groups. It turned out that they are... 
[formula omitted]-Whitney–Lah numbers | [formula omitted]-Whitney numbers | r-Whitney numbers | r-Whitney–Lah numbers | MATHEMATICS, APPLIED | CONCAVITY | r-Whitney-Lah numbers | Lattices | Combinatorial analysis
Journal Article
Proceedings - Mathematical Sciences, ISSN 0253-4142, 6/2018, Volume 128, Issue 3, pp. 1 - 25
In the present article, we study three families of polynomials associated with the r-Whitney numbers of the second kind. They are the r-Dowling polynomials,... 
Secondary: 11B73 | Combinatorial identities | r -Whitney number | r -Whitney–Fubini polynomial | Mathematics, general | r -Dowling polynomial | r -Eulerian–Fubini polynomial | 05A19 | Mathematics | Primary: 11B83 | 05A16 | 05A15 | r-Whitney–Fubini polynomial | r-Whitney number | r-Eulerian–Fubini polynomial | r-Dowling polynomial | Analysis | Polynomials | Number theory
Journal Article
FILOMAT, ISSN 0354-5180, 2019, Volume 33, Issue 3, pp. 931 - 943
In his paper, we define the multiparameter r-Whitney numbers of the first and second kind. The recurrence relations, generating functions, explicit formulas of... 
multiparameter noncentral Stirling numbers | C-numbers | MATHEMATICS | MATHEMATICS, APPLIED | generalized Stirling numbers | Lah numbers | r-Whitney numbers
Journal Article
Electronic Journal of Combinatorics, ISSN 1077-8926, 03/2018, Volume 25, Issue 1
In this paper, we give a combinatorial interpretation of the r-Whitney-Eulerian numbers by means of coloured signed permutations. This sequence is a... 
Unimodality | Eulerian number | r-whitney number | r-whitney-eulerian number | Combinatorial identities | POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | r-Whitney number | r-Whitney-Eulerian number | unimodality | KIND | R-WHITNEY NUMBERS | combinatorial identities | DOWLING LATTICES
Journal Article
Aequationes mathematicae, ISSN 0001-9054, 4/2016, Volume 90, Issue 2, pp. 393 - 406
In this paper we establish some algebraic properties involving r-Whitney numbers and other special numbers, which generalize various known identities. These... 
r -Whitney–Eulerian numbers | Primary 11B83 | Secondary 11B73 | r -Whitney number | Analysis | 05A19 | Mathematics | Combinatorics | Riordan arrays | combinatorial identities | r-Whitney–Eulerian numbers | r-Whitney number | MATHEMATICS | MATHEMATICS, APPLIED | r-Whitney-Eulerian numbers | Information science | Statistics | Algebra | Arrays | Mathematical analysis | Formulas (mathematics)
Journal Article
Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 2, pp. 309 - 320
Journal Article
Language Learning and Development, ISSN 1547-5441, 04/2013, Volume 9, Issue 2, pp. 105 - 129
Number words are generally used to refer to the exact cardinal value of a set, but cognitive scientists disagree about their meanings. Although most... 
semantic development | language | numeral | scalar implicature | psycholinguistics | development of language | Numbers | Novelty (Stimulus Dimension) | Mann Whitney U Test | Semantics | Undergraduate Students | Language Acquisition | Young Children | Adults | Number Concepts | Familiarity | scalar implicatures | number words | semantics | pragmatics | language acquisition
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2014, Volume 328, Issue 1, pp. 88 - 95
In 1973 T.A. Dowling constructed a class of geometric lattices with fixed underlying finite groups. Dowling and M. Benoumhani deduced a number of identities... 
Eulerian numbers | Dowling lattices | Dowling numbers | Whitney numbers | MATHEMATICS | STIRLING NUMBERS | Construction | Analogue | Mathematical analysis | Lattices | Proving
Journal Article
Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 10/2019, Volume 13, Issue 2, pp. 378 - 398
In this paper, we study further properties of a recently introduced generalized Eulerian number, denoted by ( ), which reduces to the classical Eulerian number... 
MATHEMATICS | Eulerian number | MATHEMATICS, APPLIED | Euler-Frobenius fraction | r-Whitney-Eulerian number | combinatorial identity
Journal Article
Discrete Mathematics, ISSN 0012-365X, 11/2019, Volume 342, Issue 11, pp. 2966 - 2983
In the papers (Benoumhani 1996;1997), Benoumhani defined two polynomials Fm,n,1(x) and Fm,n,2(x). Then, he defined Am(n,k) and Bm(n,k) to be the polynomials... 
Eulerian numbers | Benoumhani polynomials | Stirling numbers | Dowling lattices | Whitney numbers | MATHEMATICS
Journal Article
Aequationes mathematicae, ISSN 0001-9054, 12/2013, Volume 86, Issue 3, pp. 217 - 229
Journal Article
Journal of Computational Analysis and Applications, ISSN 1521-1398, 05/2020, Volume 28, Issue 3, pp. 475 - 480
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 11/2016, Volume 27, Issue 11, pp. 920 - 929
Starting from the definitions of the r-Whitney numbers of both kinds, in this paper we give two convolution formulas for the r-Whitney numbers. The convolution... 
LU factorization | r-Whitney number | 15A23 | identity | 11B73 | 15A15 | convolution formula | MATHEMATICS | MATHEMATICS, APPLIED | FORMULA | Determinants | Convolution | Integrals | Factorization | Transforms | Images
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 12/2014, Volume 25, Issue 12, pp. 937 - 942
The r-Whitney numbers of both kinds are specializations of complete and elementary symmetric functions. In this paper, we use this fact to express a finite... 
33C50 | convolution | r-Whitney numbers | Bernoulli polynomials | 11B68 | MATHEMATICS | MATHEMATICS, APPLIED | Polynomials | Functions (mathematics) | Convolution | Integrals | Mathematical analysis | Transforms | Joints
Journal Article
Journal of Integer Sequences, 01/2017, Volume 20, Issue 10
Journal Article
Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 01/2019, Volume 161, pp. 271 - 298
Given R⊆N let {nk}R, [nk]R, and L(n,k)R count the number of ways of partitioning the set [n]:={1,2,…,n} into k non-empty subsets, cycles and lists,... 
Riordan matrix | Reversion | Lah numbers | Whitney numbers | Restricted partition poset | Stirling numbers | Lagrange inversion | Riordan group | MATHEMATICS | COMBINATORICS
Journal Article
Communications of the Korean Mathematical Society, ISSN 1225-1763, 2018, Volume 33, Issue 4, pp. 1055 - 1073
Journal Article
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