Zeros of Stieltjes and Van Vleck polynomials and applications

DOI10.1016/0022-247X(85)90297-5zbMath0589.30004MaRDI QIDQ1073944

Abdallah M. Al-Rashed, Neyamat Zaheer

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

zerosJacobi polynomialsVan Vleck polynomialsStieltjes polynomialLamé's differential equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Explicit solutions, first integrals of ordinary differential equations (34A05) Polynomials and rational functions of one complex variable (30C10)

Related Items

Classical string solutions in non-relativistic AdS₅× S⁵: closed and twisted sectors ⋮ Electrostatic models for zeros of polynomials: old, new, and some open problems ⋮ Scattering equations: real solutions and particles on a line ⋮ Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials ⋮ Asymptotic properties of Heine--Stieltjes and Van Vleck polynomials.

Cites Work

• Zeros of Stieltjes and Van Vleck Polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Zeros of Stieltjes and Van Vleck polynomials and applications