Published 2024-07-03
Keywords
- Euler integral,
- Gaussian integral,
- integral representation of the beta function,
- Cauchy-Frullani integral,
- Ramanujan's master theorem
- /(/Pi/) ...More
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.