LAURENT-PAD ́E APPROXIMATION FOR LOCATING SINGULARITIES OF MEROMORPHIC FUNCTIONS WITH VALUES GIVEN ON SIMPLE CLOSED CONTOURS
Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Institutul de Matematică şi Informatică al AŞM
Abstract
In the present paper the Pad ́e approximation with Laurent polynomials is
examined for a meromorphic function on a finite domain of the c
omplex plane. Values
of the function are given at the points of a simple closed cont
our from this domain.
Based on this approximation, an efficient numerical algorith
m for locating singular
points of the function is proposed.
Description
Keywords
Pad ́e approximation, meromorphic function, simple closed contour, localization of singular points
Citation
CAPCELEA, Maria, CAPCELEA, Titu. Laurent-Pad ́e approximation for locating singularities of meromorphic functions with values given on simple closed contours. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2020, nr.2(93), pp. 76 -87. ISSN 1024-7696.