Interlacing properties of zeros of associated polynomials

DOI10.1016/0377-0427(94)00014-RzbMath0835.42012MaRDI QIDQ1899969

Franz Peherstorfer, Michael Schmuckenschlaeger

Publication date: 1 April 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialszerosJacobi weightsinterlacing property

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) Real polynomials: location of zeros (26C10)

Related Items

Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials, Orthogonal polynomials---centroid of their zeroes, Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty \)], Zeros of Jacobi functions of second kind

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty \)]
• The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials
• Orthogonal polynomials in \(L^ 1\)-approximation
• On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas
• On the zeros of associated polynomials of classical orthogonal polynomials
• A special class of polynomials orthogonal on the unit circle including the associated polynomials
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• A New Class of Orthogonal Polynomials
• Orthogonal polynomials
• On Mechanical Quadratures, In Particular, with Positive Coefficients