Olde Daalhuis, A. B. (1989), Asymptotic expansions of an integral containing a phase function with three saddle points, CWI, Report AM--R8922, Amsterdam.  Home/Search   Document Not in Database   Summary   Related Articles

....functions. The discovery by Stokes was, as Watson says, apparently one of those which are made at three o clock in the morning. Stokes wrote in a 1902 retrospective paper: The inferior term enters as it were into a mist, is hidden for a little from view, and comes out with its coefficients changed. In 1989 the mathematical physicist Michael Berry provided a deeper explanation. He suggested that the coefficients of the subdominant expansion should be regarded not as a discontinuous constant but, for fixed jzj, as a continuous function of arg z. Berry s innovative and insightful approach was followed ....

Olde Daalhuis, A. B. (1989), Asymptotic expansions of an integral containing a phase function with three saddle points, CWI, Report AM--R8922, Amsterdam.

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