q,p-catalan numbers

被引：5
|
作者：
Randrianarivony, A [1 ]
机构：
[1] UNIV STRASBOURG 1,DEPT MATH,F-67084 STRASBOURG,FRANCE
来源：
DISCRETE MATHEMATICS | 1998年 / 178卷 / 1-3期
关键词：
D O I：
10.1016/S0012-365X(97)81827-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose to study the q,p-Catalan numbers C-n(q, p) defined through the recurrence C-n(q, p) = Cn-1(q, p) + Sigma(k=0)(k=n-2) qp(k)C(k)(q, p)Cn-1-k(q, p) (C-0(q, p) = C-1(q, p) = 1). We also give new combinatorial interpretations of Carlitz's q-Catalan numbers that is the case p = q(2).
引用
收藏
页码：199 / 211
页数：13
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