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Zbl 1006.41021
Olde Daalhuis, A.B.
On the asymptotics for late coefficients in uniform asymptotic expansions of integrals with coalescing saddles. (English)
[J] Methods Appl. Anal. 7, No.4, 727-745 (2000). ISSN 1073-2772

The author derives uniform asymptotic expansion for late coefficients in uniform asymptotic expansions of an integral with coalescing saddles by constructing Borel transformations and the Riemann sheet structures of the clusters of branch points. The Borel transforms are represented in terms of new functions that have coalescing branch points.
[Matthew He (Ft.Lauderdale)]

MSC 2000:: *41A60 Asymptotic problems in approximation
30E20 Integration (one complex variable)

Keywords: asymptotic expansion; Borel transforms

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