Mathematics – Classical Analysis and ODEs
Scientific paper
2010-04-14
Mathematics
Classical Analysis and ODEs
Scientific paper
The Cauchy-Schl\"omilch transformation states that for a function $f$ and $a,
\, b > 0$, the integral of $f(x^{2})$ and $af((ax-bx^{-1})^{2}$ over the
interval $[0, \infty)$ are the same. This elementary result is used to evaluate
many non-elementary definite integrals, most of which cannot be obtained by
symbolic packages. Applications to probability distributions is also given.
Amdeberhan Tewodros
Glasser Larry M.
Jones Michael C.
Moll Victor H.
Posey R.
No associations
LandOfFree
The Cauchy-Schlomilch transformation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Cauchy-Schlomilch transformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Cauchy-Schlomilch transformation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-528192