UNIFORM ASYMPTOTIC EXPANSIONS OF A CLASS OF INTEGRALS WITH FINITE END-POINTS OF INTEGRATION ON THE SAME PATH OF STEEPEST DESCENT AND WITH NEARBY SADDLE-POINTS

[摘要] For the frequently required uniform asymptotic expansion of a certain class of integrals that have both their finite endpoints on the same path of steepest descent with a number of nearby saddle points, a modification of an earlier procedure is given. Over Bleistein's general method it offers the convenience of completely separating the processes of determining the expansion coefficients and of repeatedly integrating by parts. This is of practical relevance with a view to delegating the otherwise very tedious calculation of higher expansion coefficients to one of the available computer codes for the algebraic-analytic manipulation of given expressions.

[发布日期] 1991-06-26

[效力级别]  Proceedings Paper

[关键词] UNIFORM ASYMPTOTIC EXPANSIONS;COMPLEX CONTOUR INTEGRATION;METHOD OF STEEPEST DESCENT