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
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