Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour

Classical Jacobi polynomials $P_{n}^{(\alpha,\beta)}$, with $\alpha, \beta>-1$, have a number of well-known properties, in particular the location of their zeros in the open interval $(-1,1)$. This property is no longer valid for other values of the parameters; in general, zeros are complex. In t...

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Bibliographic Details
Main Authors: Martínez-Finkelshtein, Andrei, Orive, R.
Format: info:eu-repo/semantics/article
Language:English
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10835/1641