A Generalized Function defined by the Euler first kind integral and its connection with the Dirac delta function

2017/11/17 by Vagner Jikia, Jikia, Vagner, Ilia Lomidze +1
Mathematics · #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Analysis #Mathematics and Applications #math.CA

paper · pdf · doi:10.48550/arxiv.1711.08055

arxiv created 2017/11/17 · openalex publication_date 2017/11/17 · arxiv updated 2017/11/23 · openalex created_date 2017/12/04 · openalex updated_date 2026/07/28

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.

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