On the integration of products of Whittaker functions with respect to the second index

被引:22
作者
Becker, PA [1 ]
机构
[1] George Mason Univ, Ctr Earth Observing & Space Res, Sch Computat Sci, Fairfax, VA 22030 USA
关键词
D O I
10.1063/1.1634351
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Several new formulas are developed that enable the evaluation of a family of definite integrals containing the product of two Whittaker W-kappa,W-mu(x)-functions. The integration is performed with respect to the second index mu, and the first index kappa 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 article are complementary to the previously known integrals of products of Whittaker functions, which generally treat integration with respect to either the first index kappa or the primary argument x. A physical application involving radiative transport is discussed. (C) 2004 American Institute of Physics.
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页码:761 / 773
页数:13
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