Multi-point Taylor Expansions of Analytic Functions

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dc.creatorLópez, José L.
dc.creatorTemme, Nico M.
dc.date2004-10-20
dc.date.accessioned2026-07-07T05:13:26Z
dc.date.available2026-07-07T05:13:26Z
dc.descriptionTaylor expansions of analytic functions are considered with respect to several points, allowing confluence of any of them. Cauchy-type formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. It is explained how these expansions can be used in deriving uniform asymptotic expansions of integrals. The method is also used for obtaining Laurent expansions in several points as well as Taylor-Laurent expansions.
dc.description20 pages, 7 figures. Keywords: multi-point Taylor expansions, Cauchy's theorem, analytic functions, multi-point Laurent expansions, uniform asymptotic expansions of integrals
dc.identifierhttps://arxiv.org/abs/math/0410436
dc.identifierhttp://arxiv.org/abs/math/0410436
dc.identifierTrans. Amer. Math. Soc. 356, 4323--4342, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72941
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject30B10, 30E20, 40A30
dc.titleMulti-point Taylor Expansions of Analytic Functions
dc.typetext

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