Chebyshev's recursion: Analytic principles and applications

DOI10.1007/BF01058206zbMath0809.42013MaRDI QIDQ1335984

R. A. Ugrinovskij, S. A. Korzh, I. E. Ovcharenko

Publication date: 10 November 1994

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatortrigonometric polynomialsmoment methodslocation of rootsChebyshev's recursionHankel and Toeplitz quadratic forms

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Moment problems (44A60)

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Cites Work

• Orthogonal polynomials - Constructive theory and applications
• Representations of inner products in the space of polynomials
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• The perturbed two-dimensional oscillator: eigenvalues and infinite-field limits via continued fractions, renormalised perturbation theory and moment methods
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