Zeros of Jacobi polynomials \(P_{n}^{(\alpha ,\beta)} \), \(- 2 < \alpha\), \(\beta < -1\)

DOI10.1007/s11075-018-0474-6zbMath1404.33006OpenAlexW2782980299MaRDI QIDQ1625756

Kerstin Jordaan, Kathy A. Driver

Publication date: 29 November 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-018-0474-6

zbMATH Keywords

Jacobi polynomialsinterlacing zerosquasi-orthogonality

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 (4)

Quasi-orthogonality and zeros of some \({}_2 \phi_2\) and \({}_3 \phi_2\) polynomials ⋮ Zeros of Jacobi and ultraspherical polynomials ⋮ Interlacing and bounds of zeros of quasi-orthogonal little \(q\)-Jacobi polynomials ⋮ Zeros of quasi-orthogonal \(q\)-Laguerre polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zeros of quasi-orthogonal ultraspherical polynomials
• Interlacing of zeros of orthogonal polynomials under modification of the measure
• Interlacing of the zeros of Jacobi polynomials with different parameters
• Quasi-orthogonality with applications to some families of classical orthogonal polynomials.
• Mechanische Quadraturen mit positiven Cotesschen Zahlen
• Bounds for the small real and purely imaginary zeros of Bessel and related functions
• Stieltjes interlacing of zeros of Jacobi polynomials from different sequences
• Bounds for Extreme Zeros of Quasi-orthogonal Ultraspherical Polynomials
• On quasi-orthogonal polynomials

This page was built for publication: Zeros of Jacobi polynomials \(P_{n}^{(\alpha ,\beta)} \), \(- 2 < \alpha\), \(\beta < -1\)