Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Shi Mei Ma"'
Publikováno v:
The Ramanujan Journal. 58:203-228
The alternating descent statistic on permutations was introduced by Chebikin as a variant of the descent statistic. We show that the alternating descent polynomials on permutations, called alternating Eulerian polynomials, are unimodal via a five-ter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ad8ff37491eca24bf18ceedf80cb756
https://doi.org/10.1007/s11139-021-00460-5
https://doi.org/10.1007/s11139-021-00460-5
Publikováno v:
Journal of Combinatorial Theory, Series A. 167:257-293
In this paper, we study γ-positivity of descent-type polynomials by introducing the change of context-free grammars method. We first present a unified grammatical proof of the γ-positivity of Eulerian polynomials, type B Eulerian polynomials, deran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48053053adfd35880f306f67c600d42b
https://doi.org/10.1016/j.jcta.2019.05.002
https://doi.org/10.1016/j.jcta.2019.05.002
Publikováno v:
Discrete Mathematics. 345:112714
In this paper we present grammatical interpretations of the alternating Eulerian polynomials of types A and B. As applications, we derive several properties of the type B alternating Eulerian polynomials, including combinatorial expansions, recurrenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff4d008c47162a977d148074a7fa03f4
https://doi.org/10.1016/j.disc.2021.112714
https://doi.org/10.1016/j.disc.2021.112714
Publikováno v:
Discrete Mathematics. 341:2478-2484
A permutation of the multiset { 1 , 1 , 2 , 2 , … , n , n } is called a Stirling permutation of order n if every entry between the two occurrences of i is greater than i for each i ∈ { 1 , 2 , … , n } . In this paper, we introduce the definitio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91e49d4822eef64c4d53038dd91acbb5
https://doi.org/10.1016/j.disc.2018.05.022
https://doi.org/10.1016/j.disc.2018.05.022
Publikováno v:
European Journal of Combinatorics. 97:103371
The Jacobian elliptic function sn ( u , k ) is the inverse of the elliptic integral of the first kind and cn ( u , k ) = 1 − sn 2 ( u , k ) . In this paper, we study coefficient polynomials in the Taylor series expansions of sn ( u , k ) and cn ( u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fca478fb18626ed5333786c52b133f94
https://doi.org/10.1016/j.ejc.2021.103371
https://doi.org/10.1016/j.ejc.2021.103371
Publikováno v:
Advances in Applied Mathematics. 129:102206
In this paper, we introduce the concept of weakly increasing trees on a multiset M, which is an extension of plane trees and increasing trees on the set { 0 , 1 , … , n } . We define the M-Eulerian–Narayana polynomial for weakly increasing trees
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a13f5d39461d130888caca7336d20749
https://doi.org/10.1016/j.aam.2021.102206
https://doi.org/10.1016/j.aam.2021.102206
In this paper, we give a type B analogue of the 1/k-Eulerian polynomials. Properties of this kind of polynomials, including combinatorial interpretations, recurrence relations and gamma-positivity are studied. In particular, we show that the 1/k-Eule
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c1e808f48ed5c5e189f7d7f18932869
http://arxiv.org/abs/2001.07833
http://arxiv.org/abs/2001.07833
In this paper, we characterize a duality relation between Eulerian recurrences and Eulerian recurrence systems, which generalizes and unifies Hermite-Biehler decompositions of several enumerative polynomials, including flag descent polynomials for hy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79007319f752757c52047529e91d4ebe
Publikováno v:
The Electronic Journal of Combinatorics. 26
Let ${\bf s} = (s_1, s_2, \ldots, s_n,\ldots)$ be a sequence of positive integers. An ${\bf s}$-inversion sequence of length $n$ is a sequence ${\bf e} = (e_1, e_2, \ldots, e_n)$ of nonnegative integers such that $0 \leq e_i < s_i$ for $1\leq i\leq n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbe33effac8597be910c6bd8ec2fb69b
https://doi.org/10.37236/8466
https://doi.org/10.37236/8466
Publikováno v:
Taiwanese J. Math. 23, no. 3 (2019), 515-527
In this paper, we introduce the definitions of simsun succession statistics and simsun patterns. In addition to its original definition by Brenti, we give two more combinatorial interpretations of the $q$-Eulerian polynomials using simsun successions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0639d0f6f0c5cc2bd491b453f82f7fd
https://projecteuclid.org/euclid.twjm/1531382427
https://projecteuclid.org/euclid.twjm/1531382427