Chain sequences and symmetric generalized orthogonal polynomials

DOI10.1016/S0377-0427(01)00499-XzbMath1006.33008OpenAlexW1968727894WikidataQ126758573 ScholiaQ126758573MaRDI QIDQ1612332

A. Sri Ranga, Dimitar K. Dimitrov, Cleonice F. Bracciali

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00499-x

zbMATH Keywords

orthogonal polynomialsJacobi polynomialscontinued fractionschain sequences

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) Convergence and divergence of continued fractions (40A15)

Related Items (20)

A note on the zeros of Freud-Sobolev orthogonal polynomials ⋮ On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials ⋮ Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights ⋮ Radii of starlikeness and convexity of some \(q\)-Bessel functions ⋮ Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials ⋮ Kernel polynomials from \(L\)-orthogonal polynomials ⋮ Zeros of orthogonal polynomials generated by canonical perturbations of measures ⋮ Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case ⋮ On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight ⋮ Some properties of classes of real self-reciprocal polynomials ⋮ Analytic properties of some basic hypergeometric-Sobolev-type orthogonal polynomials ⋮ Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials ⋮ Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials ⋮ Monotonicity of the zeros of orthogonal polynomials through related measures ⋮ Radii of starlikeness of some special functions ⋮ Zeros of Gegenbauer-Sobolev orthogonal polynomials: beyond coherent pairs ⋮ Parameters of a positive chain sequence associated with orthogonal polynomials ⋮ On Freud-Sobolev type orthogonal polynomials ⋮ Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives ⋮ New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials

Cites Work

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• A note on Koornwinder's polynomials with weight function \((1-x)^ \alpha (1+x)^ \beta+ M\delta (x+1)+ N\delta (x-1)\)
• Companion orthogonal polynomials
• On Orthogonal Polynomials
• Differential Equations for Symmetric Generalized Ultraspherical Polynomials
• The Parameters of a Chain Sequence
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• Companion orthogonal polynomials: some applications

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