Results 51 to 60 of about 158 (109)

On hyperbolic k-Pell quaternions sequences [PDF]

, 2018
In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented.
Catarino, Paula
core   +1 more source

Chain enumeration, partition lattices and polynomials with only real roots [PDF]

, 2023
The coefficients of the chain polynomial of a finite poset enumerate chains in the poset by their number of elements. The chain polynomials of the partition lattices and their standard type \(B\) analogues are shown to have only real roots.
Kalampogia-Evangelinou, Katerina, Athanasiadis, Christos A.   +1 more
core   +1 more source

Colored multiset Eulerian polynomials [PDF]

Colored multiset Eulerian polynomials are a common generalization of MacMahon's multiset Eulerian polynomials and the colored Eulerian polynomials, both of which are known to satisfy well-studied distributional properties including real-rootedness, log ...
Solus, Liam, Deligeorgaki, Danai, Han, Bin   +2 more
core   +1 more source

Sorting inversion sequences [PDF]

Discrete Mathematics & Theoretical Computer Science
We consider the avoidance of patterns in inversion sequences that relate sorting via sorting machines including data structures such as pop stacks and stacks.
Toufik Mansour, Howard Skogman, Rebecca Smith   +2 more
doaj   +1 more source

Обобщение на спускащите се полиноми

, 2022
[Raychev Angel; Райчев Ангел]2020 Mathematics Subject Classification ...
Raychev, Angel
core  

The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II) [PDF]

, 2016
application/pdfFor any finite abelian group A, we give the lower bound of ordp(|Hom(A, Sn)|), and determine the region of convergence of the p-adic power series 1 + Sigma(infinity)(n=1) vertical bar Hom(A, S-n)vertical bar X-n/ n!.2000 Mathematics ...
竹ケ原, 裕元, タケガハラ, ユウゲン, TAKEGAHARA, Yugen   +2 more
core   +1 more source

On the asymptotics of the rescaled Appell polynomials [PDF]

, 2020
18 pags., 6 figs. -- MSC:41A60 30E15 05A15 11C08We introduce a new representation for the rescaled Appell polynomials and use it to obtain asymptotic expansions to arbitrary order.
Sánchez Villaseñor, Eduardo Jesús, Salas Martínez, Jesús, Barbero G., J. Fernando, Villaseñor, Eduardo J. S., Salas, Jesús, Barbero González, Jesús Fernando   +5 more
core   +1 more source

Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity

Forum of Mathematics, Sigma
Vertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit
Ilse Fischer, Hans Höngesberg
doaj   +1 more source

Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants [PDF]

In the combinatorial theory of continued fractions, the Foata-Zeilberger bijection and its variants have been extensively used to derive various continued fractions enumerating several (sometimes infinitely many) simultaneous statistics on permutations ...
Deb, Bishal
core   +1 more source

An asymptotically tight lower bound for superpatterns with small alphabets [PDF]

, 2023
A permutation \(\sigma \in S_n\) is a \(k\)-superpattern (or \(k\)-universal) if it contains each \({\tau \in S_k}\) as a pattern. This notion of "superpatterns" can be generalized to words on smaller alphabets, and several questions about superpatterns ...
Hunter, Zach
core   +1 more source