ON THE EXISTENCE OF FINITE CRITICAL TRAJECTORIES IN A FAMILY OF QUADRATIC DIFFERENTIALS

DOI10.1017/S000497271600006XzbMath1345.30005arXiv1509.04965MaRDI QIDQ3186383

Faouzi Thabet

Publication date: 9 August 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04965

zbMATH Keywords

Jacobi polynomialsLaguerre polynomialsquadratic differentials

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)

Related Items (3)

Trajectories of a Quadratic Differential Related to a Particular Algebraic Equation ⋮ Fingerprints of closed trajectories of a Strebel quadratic differential ⋮ Critical graph of a polynomial quadratic differential related to a Schrödinger equation with quartic potential

Cites Work

• Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters
• Asymptotic zero behavior of Laguerre polynomials with negative parameter
• On Evgrafov-Fedoryuk's theory and quadratic differentials
• Orthogonal polynomials with complex-valued weight function. I
• Strong asymptotics for Jacobi polynomials with varying nonstandard parameters
• EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
• On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters

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