Evaluation of special definite integrals related to Gamma Function

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Publicado: 2022-01-08
DOI: https://doi.org/10.71712/kfhz-ja94
Palabras clave:
Euler integral, Gaussian integral, integral representation of the beta function, Cauchy-Frullani integral, Ramanujan's master theorem, /(/Pi/)

Contenido principal del artículo

Lazhar Bougoffa
Imam Mohammad Ibn Saud Islamic University (IMSIU), Faculty of Science, Department of Mathematics, Riyadh.
https://orcid.org/0000-0003-0189-9436 (no autenticado)

Resumen

In this note, an integral formula can be used to quickly evaluate certain integrals not expressible in terms of elementary functions. Furthermore, it is shown that the Ramanujan's Master Theorem can be obtained, as a special case, from this formula when n is a positive integer

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Número

Vol. 32 (2022)

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Articles
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Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Cómo citar

Bougoffa, L. (2022). Evaluation of special definite integrals related to Gamma Function. Scientia, 32, 1-6. https://doi.org/10.71712/kfhz-ja94