论文标题

Delannoy数字的决定性表达和递归关系

A determinantal expression and a recursive relation of the Delannoy numbers

论文作者

Qi, Feng

论文摘要

在本文中,通过一般,基本但非扩展的循环循环公式,用于两个可区分功能的比率,以及赫森伯格决定因素的递归关系,作者发现了新的确定性表达和Derannoy数字的新递归关系。因此,作者从相关的Delannoy数字方面得出了计算中央Delannoy数字的递归关系。

In the paper, by a general and fundamental, but non-extensively circulated, formula for derivatives of a ratio of two differentiable functions and by a recursive relation of the Hessenberg determinant, the author finds a new determinantal expression and a new recursive relation of the Delannoy numbers. Consequently, the author derives a recursive relation for computing central Delannoy numbers in terms of related Delannoy numbers.

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