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On the phenomenon of spurious interpolation of elliptic functions by diagonal Padé approximants

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Publication:1957089
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DOI10.1134/S000143461003034XzbMath1200.41013MaRDI QIDQ1957089

D. V. Khristoforov

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Riemann surfacediagonal Padé approximantsLaurent serieselliptic functioncomplex Green functionspurious interpolationspurious poleStahl compact set


Mathematics Subject Classification ID

Padé approximation (41A21)


Related Items

Exact interpolation, spurious poles, and uniform convergence of multipoint Padé approximants, On uniform convergence of diagonal multipoint Padé approximants for entire functions



Cites Work

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  • Spurious poles in Padé approximation
  • Diagonal Padé approximants to hyperelliptic functions
  • The convergence of Padé approximants to functions with branch points
  • Convergence of Chebyshëv continued fractions for elliptic functions
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