{ "id": "1806.08735", "version": "v1", "published": "2018-06-22T15:45:04.000Z", "updated": "2018-06-22T15:45:04.000Z", "title": "Hermite--Padé polynomials and analytic continuation: new approach and some results", "authors": [ "Sergey P. Suetin" ], "categories": [ "math.CV" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2018-06-22T15:45:04.000Z" } ], "analyses": { "keywords": [ "analytic continuation", "well-known weierstrasss programme", "finite number", "hermite-pade polynomials", "analytic function" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }