A Generalized Function defined by the Euler first kind integral and its connection with the Dirac delta function
Classical Analysis and ODEs
2017-11-23 v1
Abstract
We have shown that in some region where the Euler integral of the first kind diverges, the Euler formula defines a generalized function. The connected of this generalized function with the Dirac delta function is found.
Cite
@article{arxiv.1711.08055,
title = {A Generalized Function defined by the Euler first kind integral and its connection with the Dirac delta function},
author = {Vagner Jikia and Ilia Lomidze},
journal= {arXiv preprint arXiv:1711.08055},
year = {2017}
}