On some general integral formulae

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-02-01 DOI:10.33205/cma.1406998

N. Ortner, P. Wagner

引用次数: 0

Abstract

We repeat and reformulate some more or less known general integral formulae and deduce from them some applications in a concise way. We then present some general double integral formulae which play an essential role in the calculation of fundamental solutions to homogeneous elliptic operators. In particular, this yields generalizations of definite integrals found in standard integral tables. In the final section, the area of an ellipsoidal hypersurface in $\bold R^n$ is represented by a hyperelliptic integral.

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关于一些一般积分公式

我们重复并重新表述了一些或多或少已知的一般积分公式，并从中简明地推导出一些应用。然后，我们提出了一些在计算同质椭圆算子的基本解时起重要作用的一般双积分公式。特别是，这产生了标准积分表中定积分的广义化。在最后一节中，$\bold R^n$ 中椭圆超曲面的面积用超椭圆积分来表示。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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