INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES

DOI10.1142/S0219025706002421zbMath1101.33006OpenAlexW1964590638MaRDI QIDQ5493866

Hui-Hsiung Kuo, Suat Namli, Izumi Kubo

Publication date: 16 October 2006

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025706002421

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialsgenerating functionmultiplicative renormalizationrecursion formulaJacobi-Szegö parameters

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (7)

CLASSES OF MRM-APPLICABLE MEASURES FOR THE POWER FUNCTION OF GENERAL ORDER ⋮ Free Meixner states ⋮ MRM-FACTORS FOR THE PROBABILITY MEASURES IN THE MEIXNER CLASS ⋮ A study of probability measures through commutators ⋮ GENERATING FUNCTIONS OF CAUCHY–STIELTJES TYPE FOR ORTHOGONAL POLYNOMIALS ⋮ A characterization of probability measures in terms of semi-quantum operators ⋮ THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES

Cites Work

• Unnamed Item
• Convolution and limit theorems for conditionally free random variables
• Interacting Fock Spaces Related to the Anderson Model
• Interacting Fock Spaces and Gaussianization of Probability Measures
• The Semi-Circle Diagrams in the Stochastic Limit of the Anderson Model
• GENERATING FUNCTIONS OF EXPONENTIAL TYPE FOR ORTHOGONAL POLYNOMIALS
• CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
• Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures

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