Geodesic
Laurent-Pad\'e 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

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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. 
@article{BASM_2020_2_a7,
     author = {Maria Capcelea and Titu Capcelea},
     title = {Laurent-Pad\'e approximation for locating singularities of meromorphic functions with values given on simple closed contours},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {76--87},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2020_2_a7/}
}
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Maria Capcelea; Titu Capcelea. Laurent-Pad\'e 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/