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arxiv math/0205064 v1 pith:B2KZM6O3 submitted 2002-05-07 math.CA

Two-point Taylor Expansions of Analytic Functions

classification math.CA
keywords expansionsanalyticfunctionspointstaylorusedasymptoticcauchy-type
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Taylor expansions of analytic functions are considered with respect to two points. 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 two points.

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