Horizontal and vertical log-concavity

被引：6
|
作者：
Heim, Bernhard [1 ]
Neuhauser, Markus [1 ,2 ]
机构：
[1] Rhein Westfal TH Aachen, Lehrstuhl Math, D-52056 Aachen, Germany
[2] Kutaisi Int Univ KIU, Youth Ave,Turn 5-7, GE-4600 Kutaisi, Georgia
来源：
RESEARCH IN NUMBER THEORY | 2021年 / 7卷 / 01期
关键词：
Binomial coefficients; Log-concavity; Polynomials; Recurrences; Special sequences;
D O I：
10.1007/s40993-021-00245-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Horizontal and vertical generating functions and recursion relations have been investigated by Comtet for triangular double sequences. In this paper we investigate the horizontal and vertical log-concavity of triangular sequences assigned to polynomials which show up in combinatorics, number theory and physics. This includes Laguerre polynomials, the Pochhammer polynomials, the D'Arcais and Nekrasov-Okounkov polynomials.
引用
收藏
页数：12
相关论文
共 50 条
  • [21] Equivariant log-concavity of graph matchings
    Li, Shiyue
    ALGEBRAIC COMBINATORICS, 2023, 6 (03): : 615 - 622
  • [22] Log-Concavity in Planar Random Walks
    Chan, Swee Hong
    Pak, Igor
    Panova, Greta
    COMBINATORICA, 2022, 42 (SUPPL 1) : 1011 - 1026
  • [23] Log-concavity of B-splines
    Floater, Michael S.
    JOURNAL OF APPROXIMATION THEORY, 2024, 300
  • [24] Infinite log-concavity: Developments and conjectures
    McNamara, Peter R. W.
    Sagan, Bruce E.
    ADVANCES IN APPLIED MATHEMATICS, 2010, 44 (01) : 1 - 15
  • [25] An Analogue of Mahonian Numbers and Log-Concavity
    Ghemit, Yousra
    Ahmia, Moussa
    ANNALS OF COMBINATORICS, 2023, 27 (04) : 895 - 916
  • [26] Schur positivity and Schur log-concavity
    Lam, Thomas
    Postnikov, Alexander
    Pylyavskyy, Pavlo
    AMERICAN JOURNAL OF MATHEMATICS, 2007, 129 (06) : 1611 - 1622
  • [27] On diffusion semigroups preserving the log-concavity
    Kolesnikov, AV
    JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 186 (01) : 196 - 205
  • [28] A Restriction Estimate with a Log-Concavity Assumption
    Kyoungtae Moon
    Journal of Fourier Analysis and Applications, 2024, 30
  • [29] Linear transformations preserving log-concavity
    Wang, Y
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 359 : 161 - 167
  • [30] The ratio log-concavity of the Cohen numbers
    Liu, Eric H.
    Jin, Lily J.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
12345