Hermite–Padé polynomials and Shafer quadratic approximations for multivalued analytic functions

DOI10.1070/RM9954zbMath1461.30089OpenAlexW3093883622MaRDI QIDQ5138470

Sergey P. Suetin

Publication date: 3 December 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9954

zbMATH Keywords

rational approximationHermite-Padé polynomialsShafer approximants

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Approximation by polynomials (41A10)

Related Items (3)

Analogs of Schmidt's formula for polyorthogonal polynomials of the first type ⋮ Polyorthogonalization in pre-Hilbert spaces ⋮ Interpolation properties of Hermite–Padé polynomials

Cites Work

• On an example of the Nikishin system
• The convergence of Padé approximants to functions with branch points
• Convergence of Shafer quadratic approximants
• Hermite-Padé approximants for meromorphic functions on a compact Riemann surface
• Riemann-Hilbert analysis for a Nikishin system
• Summation of asymptotic expansions of multiple-valued functions using algebraic approximants: Application to anharmonic oscillators
• On Quadratic Approximation
• Unnamed Item

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