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Research articles

Laurent-Padé approximation for locating singularities of meromorphic functions with values given on simple closed contours

Maria Capcelea, Titu Capcelea

Moldova State University

Abstract: In the present paper the Padé approximation with Laurent polynomials is examined for a meromorphic function on a finite domain of the complex plane. Values of the function are given at the points of a simple closed contour from this domain. Based on this approximation, an efficient numerical algorithm for locating singular points of the function is proposed.

Keywords and phrases: Padé approximation, meromorphic function, simple closed contour, localization of singular points.

MSC: 65E05, 41A21

Received: 22.05.2020

Language: English