Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials

DOI10.1007/978-3-319-52471-9_23zbMath1406.30003arXiv1510.06003OpenAlexW1767406908MaRDI QIDQ4562609

Alexander Yu. Solynin, Boris Zalmanovich Shapiro

Publication date: 17 December 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06003

zbMATH Keywords

Jacobi polynomialsquadratic differentialsasymptotic root-counting measurecritical trajectories

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items (2)

A refinement for rational functions of Pólya's method to construct Voronoi diagrams ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source

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