Delannoy数的一个行列式和递归关系

IF 0.6 Q3 MATHEMATICS

Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-03-27 DOI:10.2478/ausm-2021-0027

Feng Qi (祁锋)

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引用次数: 8

摘要

摘要本文利用两个可微函数之比的导数的一个一般的、基本的但不广泛流传的公式和黑森伯格行列式的递推关系，得到了Delannoy数的一个新的行列式表达式和一个新的递推关系。因此，作者导出了用相关的Delannoy数来计算中心Delannoy数的递归关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A determinantal expression and a recursive relation of the Delannoy numbers

Abstract 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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