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Computational aspects of complex orthogonal polynomials

Presented by: 
Alfredo Deaño University of Kent
Date: 
Friday 13th December 2019 - 16:00 to 16:30
Venue: 
INI Seminar Room 1
Abstract: 

Complex orthogonal polynomials, and associated quantities such as recurrence coefficients, have been recently used in problems related to highly oscillatory quadrature (construction of complex Gaussian quadrature rules), in the analysis of non-Hermitian random matrix ensembles and also in the study of solutions of Painlevé differential equations. In this talk we will present examples and propose several options for their numerical evaluation.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons