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arxiv: 1806.08735 · v1 · pith:TQTZII45new · submitted 2018-06-22 · 🧮 math.CV

Hermite--Pad\'e polynomials and analytic continuation: new approach and some results

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keywords analyticapproachcontinuationhermite--padpolynomialsbranchcorrespondingdiscuss
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We discuss a new approach to realization of the well-known Weierstrass's programme on efficient continuation of an analytic element corresponding to a~multivalued analytic function with finite number of branch points. Our approach is based on the use of Hermite--Pad\'e polynomials.

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