arXiv:math/0205064 Abstract

arXiv:math/0205064 [math.CA]Abstract References Reviews Resources

Two-point Taylor Expansions of Analytic Functions

Published 2002-05-07Version 1

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.

Comments: 14 pages, 10 figures

Categories: math.CA

Subjects: 30B10, 30E20, 40A30

Keywords: two-point taylor expansions, analytic functions, deriving uniform asymptotic expansions, cauchy-type formulas, obtaining laurent expansions

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