Geodesic
Laurent-Padé approximation for locating singularities of meromorphic functions with values given on simple closed contours
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2020), pp. 76-87 
Maria Capcelea; Titu Capcelea. Laurent-Padé approximation for locating singularities of meromorphic functions with values given on simple closed contours. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2020), pp. 76-87. http://geodesic.mathdoc.fr/item/BASM_2020_2_a7/
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     title = {Laurent-Pad\'e approximation for locating singularities of meromorphic functions with values given on simple closed contours},
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     pages = {76--87},
     year = {2020},
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     url = {http://geodesic.mathdoc.fr/item/BASM_2020_2_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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