THE INTEGRAL REPRESENTATION FOR THE PRODUCT OF TWO PARABOLIC CYLINDER FUNCTIONS Dν(x)Dν(−x) AT Re ν < 0 BY MEANS OF THE FUNDAMENTAL SOLUTION OF A LANDAU-TYPE OPERATOR (2008)
by
C. Malyshev
BibTeX
@MISC{Malyshev08theintegral,
author = {C. Malyshev},
title = {THE INTEGRAL REPRESENTATION FOR THE PRODUCT OF TWO PARABOLIC CYLINDER FUNCTIONS Dν(x)Dν(−x) AT Re ν < 0 BY MEANS OF THE FUNDAMENTAL SOLUTION OF A LANDAU-TYPE OPERATOR},
year = {2008}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
The fundamental solution (Green’s function) of a first order matrix ordinary differential equation arising in a Landau-type problem is calculated by two methods. The coincidence of the two representations results in the integral formula for the product of two parabolic cylinder functions Dν(x)Dν(−x) at Reν < 0,x ∈ IR. PDMI Preprint 04/2001 math-ca/0106142
