Nuttall's theorem with analytic weights on algebraic S-contours

DOI10.1016/j.jat.2014.10.015zbMath1306.41005arXiv1406.0832OpenAlexW2011993485WikidataQ63313302 ScholiaQ63313302MaRDI QIDQ2514843

Maxim L. Yattselev

Publication date: 4 February 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0832

zbMATH Keywords

Padé approximationsingular integral equationmatrix Riemann-Hilbert problemdiagonal Padé approximantalgebraic S-contourasymptotic error formulaCauchy integral of analytic density

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Padé approximation (41A21) Asymptotic representations in the complex plane (30E15)

Related Items (7)

Supercritical regime for the kissing polynomials ⋮ Symmetric contours and convergent interpolation ⋮ Non-Hermitian orthogonal polynomials on a trefoil ⋮ Nuttall's theorem with analytic weights on algebraic S-contours ⋮ Asymptotics of polynomials orthogonal on a cross with a Jacobi-type weight ⋮ On multipoint Padé approximants whose poles accumulate on contours that separate the plane ⋮ The conjugate gradient algorithm on a general class of spiked covariance matrices

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