Modern trends in constructive function theory : Constructive Functions 2014, conference in honor of Ed Saff's 70th birthday, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee

Bibliographic Information

Modern trends in constructive function theory : Constructive Functions 2014, conference in honor of Ed Saff's 70th birthday, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee

Douglas P. Hardin, Doron S. Lubinsky, Brian Z. Simanek, editors

(Contemporary mathematics, 661)

American Mathematical Society, c2016

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Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of the conference Constructive Functions 2014, held from May 26-30, 2014, at Vanderbilt University, Nashville, TN, in honor of Ed Saff's 70th birthday. The papers in this volume contain results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, minimal Riesz energy, random polynomials, Pade and Hermite-Pade approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer $G$-function, polynomial ensembles, and integer lattice points.

Table of Contents

Ed Saff at three score and ten by D. S. Lubinsky The tale of a formula by V. Totik Log-optimal configurations on the sphere by P. D. Dragnev Convergene of random continued fractions and random iterations of Mobius transformations by L. Lorentzen Ratio asymptotics for multiple orthogonal polynomials by W. Van Assche Study of a parametrization of the bivariate trigonometric moment problem by J. S. Geronimo and A. Pangia Explicit formulas for the Riesz energy of the $N$th roots of unity by J. S. Brauchart Asymptotic zero distribution of random polynomials spanned by general bases by I. E. Pritsker On row sequences of Pade and Hermite-Pade approximation by G. Lopez Lagomasino Orthogonal expansions for generalized Gegenbauer weight function on the unit ball by Y. Xu The Mhaskar-Saff variational principle and location of the shocks of certain hyperbolic equations by A. I. Aptekarev Boundary estimates for Bergman polynomials in domains with corners by N. Stylianopoulos Asymptotics of type I Hermite-Pade polynomials for semiclassical functions by A. Martinez-Finkelshtein, E. A. Rakhmanov, and S. P. Suetin Sparse interpolation and rational approximation by A. Cuyt and W.-S. Lee Asymptotics of the Meijer $G$-functions by Y. Lin and R. Wong Transformations of polynomial ensembles by A. B. J. Kuijlaars Local statistics of lattice points on the sphere by J. Bourgain, P. Sarnak, and Z. Rudnick Conditioning moments of singular measures for entropy maximization II: Numerical examples by M. Budisic and M. Putinar

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