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
  • [1] Horizontal and vertical log-concavity
    Bernhard Heim
    Markus Neuhauser
    Research in Number Theory, 2021, 7
  • [2] Log-concavity and strong log-concavity: A review
    Saumard, Adrien
    Wellner, Jon A.
    STATISTICS SURVEYS, 2014, 8 : 45 - 114
  • [3] Nested Log-Concavity
    Llamas, Aurora
    Martinez-Bernal, Jose
    COMMUNICATIONS IN ALGEBRA, 2010, 38 (05) : 1968 - 1981
  • [4] On Multiple and Infinite Log-Concavity
    Luis A. Medina
    Armin Straub
    Annals of Combinatorics, 2016, 20 : 125 - 138
  • [5] Log-concavity of the partition function
    DeSalvo, Stephen
    Pak, Igor
    RAMANUJAN JOURNAL, 2015, 38 (01): : 61 - 73
  • [6] Log-Concavity of the Alexander Polynomial
    Hafner, Elena S.
    Meszaros, Karola
    Vidinas, Alexander
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (13) : 10273 - 10284
  • [7] On the Log-Concavity of the Wright Function
    Ferreira, Rui A. C.
    Simon, Thomas
    CONSTRUCTIVE APPROXIMATION, 2024, 60 (02) : 309 - 338
  • [8] Negative Correlation and Log-Concavity
    Kahn, J.
    Neiman, M.
    RANDOM STRUCTURES & ALGORITHMS, 2010, 37 (03) : 367 - 388
  • [9] Log-concavity of the overpartition function
    Engel, Benjamin
    RAMANUJAN JOURNAL, 2017, 43 (02): : 229 - 241
  • [10] Log-concavity of the overpartition function
    Benjamin Engel
    The Ramanujan Journal, 2017, 43 : 229 - 241
12345