Physics – Mathematical Physics
Scientific paper
2003-10-23
Physics
Mathematical Physics
Accepted for publication in the Journal of Mathematical Physics
Scientific paper
Several new formulas are developed that enable the evaluation of a family of definite integrals containing the product of two Whittaker W-functions. The integration is performed with respect to the second index, and the first index is permitted to have any complex value, within certain restrictions required for convergence. The method utilizes complex contour integration along with various symmetry relations satisfied by the Whittaker functions. The new results derived in this paper are complementary to the previously known integrals of products of Whittaker functions, which generally treat integration with respect to either the first index or the primary argument. A physical application involving radiative transport is discussed.
No associations
LandOfFree
On the integration of products of Whittaker functions with respect to the second index 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 On the integration of products of Whittaker functions with respect to the second index, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the integration of products of Whittaker functions with respect to the second index will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-412958