关于伽马函数和卷积的说明

arXiv - MATH - History and Overview Pub Date : 2024-02-24 DOI:arxiv-2402.15842

Francisco Mota

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引用次数: 0

摘要

在本说明中，我们探讨了函数卷积运算与欧拉积分之间的关系。通过这种方法，我们可以用伽马函数得到某类函数卷积的一些表达式，并利用卷积的概念和性质推导出伽马函数的一些众所周知的性质。

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A Note on Gamma Function and Convolution

In this note we explore the relationship between the operation of convolution of functions and the Eulerian integrals. This approach allow us to obtain some expressions for the convolution of a certain class of functions in terms of the Gamma Function as well as to derive some well known properties of the Gamma Function by using the concept and properties of the convolution.

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arXiv - MATH - History and Overview

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