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 | |
【 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
【 预 览 】
Files | Size | Format | View |
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RO201902180078451ZK.pdf | 227KB | download |