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

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 in corpus (3)

• Polynomial Hermite-Padé $m$-system for meromorphic functions on a compact Riemann surface
• Maximum Principle and Asymptotic Properties of Hermite--Padé Polynomials
• Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces