论文标题
水平和垂直对数洞穴
Horizontal and Vertical Log-Concavity
论文作者
论文摘要
三角双序列研究了水平和垂直生成功能和递归关系。在本文中，我们研究了分配给多项式分配的三角序列的水平和垂直对数腔，这些序列以组合，数字理论和物理学为单位。这包括Laguerre多项式，Pochhammer多项式，D'Arcais和Nekrasov-Okounkov多项式。
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.
