scholarly journals A q-analogue of generalized translated Whitney numbers: Cigler's approach

2021 ◽  
Vol 24 (01) ◽  
pp. 82-96
Author(s):  
Roberto B. Corcino ◽  
Jezer C. Fernandez ◽  
Mary Ann Ritzell P. Vega
Keyword(s):  
Whitney Numbers

New family of Whitney numbers

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 309-320 ◽  
Author(s):  
B.S. El-Desouky ◽  
Nenad Cakic ◽  
F.A. Shiha
Keyword(s):  
Generating Functions ◽  
Recurrence Relations ◽  
Stirling Numbers ◽  
Explicit Formulas ◽  
Basic Properties ◽  
New Family ◽  
Whitney Numbers ◽  
Special Cases

In this paper we give a new family of numbers, called ??-Whitney numbers, which gives generalization of many types of Whitney numbers and Stirling numbers. Some basic properties of these numbers such as recurrence relations, explicit formulas and generating functions are given. Finally many interesting special cases are derived.

Hankel Transform of the Type 2 (p,q)-Analogue of r-Dowling Numbers

Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 343
Author(s):  
Roberto Corcino ◽  
Mary Ann Ritzell Vega ◽  
Amerah Dibagulun
Keyword(s):  
Hankel Transform ◽  
Convolution Type ◽  
Combinatorial Interpretation ◽  
Whitney Numbers

In this paper, type 2 (p,q)-analogues of the r-Whitney numbers of the second kind is defined and a combinatorial interpretation in the context of the A-tableaux is given. Moreover, some convolution-type identities, which are useful in deriving the Hankel transform of the type 2 (p,q)-analogue of the r-Whitney numbers of the second kind are obtained. Finally, the Hankel transform of the type 2 (p,q)-analogue of the r-Dowling numbers are established.

Whitney Numbers

1987 ◽  
pp. 139-160 ◽  
Author(s):  
Martin Aigner
Keyword(s):  
Whitney Numbers

scholarly journals The $Z$-Polynomial of a Matroid

10.37236/7105 ◽  
2018 ◽  
Vol 25 (1) ◽  
Author(s):  
Nicholas Proudfoot ◽  
Yuan Xu ◽  
Ben Young
Keyword(s):  
Closed Formula ◽  
Poincaré Duality ◽  
Poincare Duality ◽  
Whitney Numbers ◽  
Alternating Sums ◽  
Cohomological Interpretation

We introduce the $Z$-polynomial of a matroid, which we define in terms of the Kazhdan-Lusztig polynomial. We then exploit a symmetry of the $Z$-polynomial to derive a new recursion for Kazhdan-Lusztig coefficients. We solve this recursion, obtaining a closed formula for Kazhdan-Lusztig coefficients as alternating sums of multi-indexed Whitney numbers. For realizable matroids, we give a cohomological interpretation of the $Z$-polynomial in which the symmetry is a manifestation of Poincaré duality.

Some polynomials associated with the $${\varvec{r}}$$ r -Whitney numbers

2018 ◽  
Vol 128 (3) ◽  
Author(s):  
Cristina B Corcino ◽  
Roberto B Corcino ◽  
István Mező ◽  
José L Ramírez
Keyword(s):  
Whitney Numbers

scholarly journals First Observations on Prefab Posets’ Whitney Numbers

2007 ◽  
Vol 18 (1) ◽  
pp. 57-73
Author(s):  
A. Krzysztof Kwaśniewski
Keyword(s):  
Whitney Numbers

scholarly journals Whitney numbers of some geometric lattices

1994 ◽  
Vol 65 (1) ◽  
pp. 11-25 ◽  
Author(s):  
E Damiani ◽  
O D'Antona ◽  
F Regonati
Keyword(s):  
Whitney Numbers ◽  
Geometric Lattices

scholarly journals Whitney numbers of geometric lattices

1975 ◽  
Vol 16 (2) ◽  
pp. 125-138 ◽  
Author(s):  
Kenneth Bacławski
Keyword(s):  
Whitney Numbers ◽  
Geometric Lattices
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