The Generalized Stieltjes Transform and Its Inverse

Details The Generalized Stieltjes Transform and Its Inverse The Generalized Stieltjes Transform and Its Inverse

2004-05-18

arxiv.org/abs/math-ph/0405050v1

J.Math.Phys. 46 (2005) 013501

Physics

Mathematical Physics

11 pages, 1 figure

Scientific paper

10.1063/1.1825077

The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter $\rho > 0$. In previous work a convenient form of the inverse transformation was derived for the case $\rho = 3/2$. This paper generalizes that result to all $\rho > 0$. It is a well-known fact that the GST can be formulated as an iterated Laplace transform, and that therefore its inverse can be expressed as an iterated inverse Laplace transform. The form of the inverse transform derived here is a one-dimensional integral that is considerably simpler.

Affiliated with

Also associated with

No associations

Rating

The Generalized Stieltjes Transform and Its Inverse 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 Generalized Stieltjes Transform and Its Inverse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Generalized Stieltjes Transform and Its Inverse will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254954