UNIFORM ASYMPTOTIC EXPANSIONS OF A CLASS OF INCOMPLETE CYLINDRICAL-FUNCTIONS

[摘要] For the uniform asymptotic expansion of Incomplete Cylindrical Functions of Bessel form a modification of Bleistein's general procedure is given. 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] 1992-12-09

[关键词] INCOMPLETE CYLINDRICAL FUNCTIONS OF BESSEL FORM;UNIFORM ASYMPTOTIC EXPANSIONS