Evaluation of special definite integrals related to Gamma Function

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

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Lazhar Bougoffa
Imam Mohammad Ibn Saud Islamic University (IMSIU), Faculty of Science, Department of Mathematics, Riyadh.
https://orcid.org/0000-0003-0189-9436 (unauthenticated)

Abstract

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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Vol. 32 (2022)

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Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

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