On the existence of short trajectories of quadratic differentials related to generalized Jacobi polynomials with non-real varying parameters

DOI10.1016/j.jmaa.2016.05.025zbMath1343.30004arXiv1509.05873OpenAlexW2260072160MaRDI QIDQ298131

Faouzi Thabet, Mondher Chouikhi

Publication date: 20 June 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05873

zbMATH Keywords

Jacobi polynomialsroot-counting measures

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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)

Related Items (3)

Supercritical regime for the kissing polynomials ⋮ An asymptotic expansion for a class of biorthogonal polynomials with respect to a measure on the unit circle ⋮ Critical graph of a polynomial quadratic differential related to a Schrödinger equation with quartic potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trajectories of quadratic differentials for Jacobi polynomials with complex parameters
• Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters
• On mother body measures with algebraic Cauchy transform
• On polynomial eigenfunctions for a class of differential operators
• How to find a measure from its potential
• Orthogonal polynomials with complex-valued weight function. I
• Orthogonality of Jacobi polynomials with general parameters
• Strong asymptotics for Jacobi polynomials with varying nonstandard parameters
• ZEROS OF JACOBI POLYNOMIALS WITH VARYING NON-CLASSICAL PARAMETERS
• Orthogonal Polynomials and 𝑆-curves

This page was built for publication: On the existence of short trajectories of quadratic differentials related to generalized Jacobi polynomials with non-real varying parameters