Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences

DOI10.1016/j.apnum.2009.04.007zbMath1179.33011OpenAlexW1976830330MaRDI QIDQ2271391

Norbert Mbuyi, Kerstin Jordaan, Kathy A. Driver

Publication date: 7 August 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.04.007

zbMATH Keywords

zerosJacobi polynomialsLaguerre polynomialsinterlacing propertieslinear combinations

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) Other special orthogonal polynomials and functions (33C47)

Related Items (4)

Spectral properties related to generalized complementary Romanovski-Routh polynomials ⋮ Asymptotic distributions of the zeros of certain classes of hypergeometric functions and polynomials ⋮ Interlacing of zeros of orthogonal polynomials under modification of the measure ⋮ Asymptotic distributions of the zeros of a family of hypergeometric polynomials

Cites Work

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