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A Note on Gamma Function and Convolution

History and Overview 2024-02-27 v1

Abstract

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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Cite

@article{arxiv.2402.15842,
  title  = {A Note on Gamma Function and Convolution},
  author = {Francisco Mota},
  journal= {arXiv preprint arXiv:2402.15842},
  year   = {2024}
}