Hermite--Padé polynomials and analytic continuation: new approach and some results

2018/06/22 by Sergey Pavlovich Suetin, Suetin, Sergey P. · 2 citations
Mathematics · #Advanced Mathematical Identities #Complex Variables (math.CV) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1806.08735

openalex publication_date 2018/06/22 · openalex created_date 2018/07/10 · openalex updated_date 2026/07/28

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--Padé polynomials.

Cited by

• Maximum Principle and Asymptotic Properties of Hermite--Padé Polynomials
• Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces

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