计算和在贝塔，多，和高斯超几何函数。

IF 1.8 2区数学 Q1 MATHEMATICS

Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-01-01 Epub Date: 2020-08-24 DOI:10.1007/s13398-020-00927-y

Feng Qi, Chuan-Jun Huang

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引用次数: 6

摘要

本文利用二项式反演公式、两个可微函数之比的高阶导数的一般公式等技术，计算了函数及其偏导数、多函数、高斯超几何函数和行列式的若干和。这些结果推广了组合学中已知的结果。

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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Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions.

In the paper, by virtue of the binomial inversion formula, a general formula of higher order derivatives for a ratio of two differentiable function, and other techniques, the authors compute several sums in terms of the beta function and its partial derivatives, polygamma functions, the Gauss hypergeometric function, and a determinant. These results generalize known ones in combinatorics.

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来源期刊

Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas 数学-数学

CiteScore

4.70

自引率

17.20%

发文量

151

审稿时长

>12 weeks

期刊介绍： The journal publishes, in English language only, high-quality Research Articles covering Algebra; Applied Mathematics; Computational Sciences; Geometry and Topology; Mathematical Analysis; Statistics and Operations Research. Also featured are Survey Articles in every mathematical field.