期刊论文详细信息
Contributions to Discrete Mathematics
A curious polynomial interpolation of Carlitz-Riordan's q-ballot numbers
Frdric Chapoton ; Jiang Zeng
关键词: $q$-Catalan numbers;    lattice paths;    $q$-ballot numbers;   
学科分类:社会科学、人文和艺术(综合)
来源: University of Calgary * Department of Mathematics and Statistics
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【 摘 要 】

We study a polynomial sequence $C_n(x|q)$ defined as a solution of a $q$-difference equation. This sequence, evaluated at $q$-integers, interpolates Carlitz--Riordan's $q$-ballot numbers. In the basis given by some kind of $q$-binomial coefficients, the coefficients are again some $q$-ballot numbers. We obtain another curious recurrence relation for these polynomials in a combinatorial way.

【 授权许可】

Unknown   

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