ON THE CONVERGENCE OF PADÉ APPROXIMANTS IN CLASSES OF HOLOMORPHlC FUNCTIONS

DOI10.1070/SM1981v040n02ABEH001794zbMath0466.30033OpenAlexW8311712MaRDI QIDQ3918370

Evguenii A. Rakhmanov

Publication date: 1981

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1981v040n02abeh001794

zbMATH Keywords

convergence of Pade approximation in classes of holomorphic curves

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Continued fractions; complex-analytic aspects (30B70)

Related Items (13)

Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn's power series III) ⋮ Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials ⋮ Diagonal Padé approximants to hyperelliptic functions ⋮ Reflections on the Baker–Gammel–Wills (Padé) Conjecture ⋮ The convergence of Padé approximants to functions with branch points ⋮ The convergence of diagonal Padé approximants and the Padé conjecture ⋮ Exact interpolation, spurious poles, and uniform convergence of multipoint Padé approximants ⋮ Distribution of poles of diagonal rational approximants to functions of fast rational approximability ⋮ Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn's power series I) ⋮ On uniform convergence of diagonal multipoint Padé approximants for entire functions ⋮ Rational approximation to the exponential function with complex conjugate interpolation points ⋮ On the convergence of generalized Padé approximants ⋮ Spurious poles in Padé approximation

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