LAURENT-PAD ́E APPROXIMATION FOR LOCATING SINGULARITIES OF MEROMORPHIC FUNCTIONS WITH VALUES GIVEN ON SIMPLE CLOSED CONTOURS
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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.
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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.