Watson-Sommerfeld transformation

Watson-Sommerfeld transformation

[′wät·sən ′zȯm·ər‚felt i‚kwā·zhən]
(mathematics)
A procedure for transforming a series whose l th term is the product of the l th Legendre polynomial and a coefficient, al , having certain properties, into the sum of a contour integral of a (l) and terms involving poles of a (l), where a (l) is a meromorphic function such that a (l) equals al at integral values of l ; used in studying rainbows, propagation of radio waves around the earth, scattering from various potentials, and scattering of elementary particles. Also known as Sommerfeld-Watson transformation.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.