Interlacing of zeros of orthogonal polynomials under modification of the measure

DOI10.1016/j.jat.2013.07.007zbMath1337.30003OpenAlexW2166097549MaRDI QIDQ741094

Dimitar K. Dimitrov, Mourad E. H. Ismail, Fernando Rodrigo Rafaeli

Publication date: 10 September 2014

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.07.007

zbMATH Keywords

orthogonal polynomialszeros of polynomials

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) Polynomials and rational functions of one complex variable (30C10)

Related Items

Zeros of Jacobi polynomials \(P_{n}^{(\alpha ,\beta)} \), \(- 2 < \alpha\), \(\beta < -1\), Zeros of quasi-orthogonal Jacobi polynomials, Zeros of Jacobi and ultraspherical polynomials, Interlacing and bounds of zeros of quasi-orthogonal little \(q\)-Jacobi polynomials, Zeros of Orthogonal Polynomials, Interlacing of zeros of Laguerre polynomials of equal and consecutive degree, Sharp parameter intervals for interlacing of zeros of equal degree Laguerre polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixed recurrence relations and interlacing of the zeros of some \(q\)-orthogonal polynomials from different sequences
• Zeros of generalized Krawtchouk polynomials
• On the behaviour of zeros of Jacobi polynomials
• Separation theorems for the zeros of certain hypergeometric polynomials
• Interlacing of the zeros of Jacobi polynomials with different parameters
• Interlacing of the zeros of contiguous hypergeometric functions
• Interlacing theorems for the zeros of some orthogonal polynomials from different sequences
• Zeros of linear combinations of Laguerre polynomials from different sequences
• On a conjecture concerning monotonocity of zeros of ultraspherical polynomials
• Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences
• Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials
• Linear Combinations of Orthogonal Polynomials Generating Positive Quadrature Formulas
• The Zeros of the Hahn Polynomials