Vol. 32 (2022)
Articles

Evaluation of special denite integrals related to Gamma Function

Lazhar Bougoffa
Imam Mohammad Ibn Saud Islamic University (IMSIU), Faculty of Science, Department of Mathematics, Riyadh.

Published 2024-07-03

Keywords

  • Euler integral,
  • Gaussian integral,
  • integral representation of the beta function,
  • Cauchy-Frullani integral,
  • Ramanujan's master theorem,
  • /(/Pi/)
  • ...More
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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.