Lattice paths and the q-ballot polynomials

被引：4

作者：

Chu, Wenchang ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Lecce Arnesano POB 193, I-78100 Lecce, Italy

来源：

ADVANCES IN APPLIED MATHEMATICS | 2017年 / 87卷

关键词：

Lattice paths; Ballot number; Catalan number; Narayana polynomial; Frobenius partition; Generating function; Reflection principle; CATALAN NUMBERS; IDENTITIES;

D O I：

10.1016/j.aam.2017.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two statistics with respect to "upper-corners" and "lower corners" are introduced for lattice paths. The corresponding refined generating functions are shown to be closely related to the q-ballot polynomials that extend the well-known Narayana polynomials and Catalan numbers. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：108 / 127

页数：20

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