Mergelyan’s theorem with polynomials non-vanishing on unions of sets

DOI10.1080/17476933.2013.837048zbMath1295.30087OpenAlexW2051385368MaRDI QIDQ5404697

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Publication date: 28 March 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.837048

zbMATH Keywords

polynomial approximationMergelyan theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (3)

Uniform approximation in the spherical distance by functions meromorphic on Riemann surfaces ⋮ Simultaneous zero-free approximation and universal optimal polynomial approximants ⋮ On the zero-free polynomial approximation problem

Cites Work

• Mergelyan's theorem for zero free functions
• Approximating functions by the Riemann zeta-function and by polynomials with zero constraints
• Über Räume konformer Selbstabbildungen ebener Gebiete
• Approximation of and by the Riemann zeta-function
• A joint universality theorem for Dirichlet L-functions
• Approximation by simple fractions
• Mergelyan's approximation theorem with nonvanishing polynomials and universality of zeta-functions
• Possibility of Uniform Rational Approximation in the Spherical Metric
• Subharmonic Extensions and Approximations

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