Abstract:
The author considers the connection between the asymptotic behavior of the poles of the $m$th row of the Padé table of a function given by a power series and the singular points of this function on the boundary of its $m$th disc of meromorphicity.
Bibliography: 9 titles.
\Bibitem{Sue84}
\by S.~P.~Suetin
\paper On an inverse problem for the $m$th row of a Pad\'e table
\jour Math. USSR-Sb.
\yr 1985
\vol 52
\issue 1
\pages 231--244
\mathnet{http://mi.mathnet.ru/eng/sm2049}
\crossref{https://doi.org/10.1070/SM1985v052n01ABEH002886}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=746069}
\zmath{https://zbmath.org/?q=an:0571.30034|0549.30028}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984ASU9600013}
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https://doi.org/10.1070/SM1985v052n01ABEH002886
https://www.mathnet.ru/eng/sm/v166/i2/p238
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