Perturbed recurrence relations. III: The general case-some new applications

DOI10.1007/s11075-008-9212-9zbMath1152.42004OpenAlexW2092615034MaRDI QIDQ937191

Elie Leopold

Publication date: 20 August 2008

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9212-9

zbMATH Keywords

zerosdifferential equationsSobolev recurrence relationsgeneral recurrence relations with perturbed coefficientsperturbed orthogonal polynomial system

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) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (3)

Asymptotic behaviours and general recurrence relations ⋮ Spectral transformation associated with a perturbed \(R_I\) type recurrence relation ⋮ Chain sequences and zeros of polynomials related to a perturbed \(R_{II}\) type recurrence relation

Cites Work

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• The extremal zeros of a perturbed orthogonal polynomials system
• Algebraic aspects of matrix orthogonality for vector polynomials
• Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials
• Some discrete \(d\)-orthogonal polynomial sets.
• Perturbed recurrence relations
• Orthogonal polynomials (in Matlab)
• Orthogonal matrix polynomials and higher-order recurrence relations
• On a system of ``classical polynomials of simultaneous orthogonality
• A generalization of Favard's theorem for polynomials satisfying a recurrence relation
• Perturbed recurrence relations. II: The general case
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros

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