Stieltjes interlacing of zeros of Jacobi polynomials from different sequences

zbMath1293.33011MaRDI QIDQ2447361

Kathy A. Driver, Alta S. Jooste, Kerstin Jordaan

Publication date: 25 April 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/vol.38.2011/pp317-326.dir/pp317-326.html

zbMATH Keywords

Jacobi polynomialsinterlacing of zerosStieltjes theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (11)

Interlacing properties and bounds for zeros of \({}_2\phi_1\) hypergeometric and little \(q\)-Jacobi polynomials ⋮ Stieltjes interlacing of the zeros of ⋮ Zeros of Jacobi polynomials \(P_{n}^{(\alpha ,\beta)} \), \(- 2 < \alpha\), \(\beta < -1\) ⋮ Orthogonality and asymptotics of pseudo-Jacobi polynomials for non-classical parameters ⋮ Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences ⋮ Zeros of Jacobi and ultraspherical polynomials ⋮ Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials ⋮ Zeros of Orthogonal Polynomials ⋮ Multiple monotonicity of discrete distributions: the case of the Poisson model ⋮ Bounds for extreme zeros of some classical orthogonal polynomials ⋮ Properties of Clifford-Legendre polynomials

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