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Uniform convergent expansions of integral transforms. (English) Zbl 1469.41012

Several examples of special functions are illustrated by the authors. They study the speed of convergence of the multi-point Taylor expansion and consider four different situations concerning the position of the end points of the integration interval.

MSC:

41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
33F05 Numerical approximation and evaluation of special functions
41A80 Remainders in approximation formulas
44A05 General integral transforms

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