MRM-FACTORS FOR THE PROBABILITY MEASURES IN THE MEIXNER CLASS

DOI10.1142/S0219025710004206zbMath1207.33014MaRDI QIDQ3070061

Izumi Kubo, Hui-Hsiung Kuo

Publication date: 2 February 2011

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

zbMATH Keywords

orthogonal polynomialsprobability measuresJacobi-Szegő parametersMRM-applicable

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 (3)

THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES ⋮ DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES ⋮ ON STOCHASTIC DOMINANCE OF NILPOTENT OPERATORS

Cites Work

• Unnamed Item
• Natural exponential families with quadratic variance functions
• On a family of approximation operators
• Processes of Meixner type
• Some properties of polynomial sets of type zero
• Polynomials Defined by Generating Relations
• Lévy processes, polynomials and martingales
• GENERATING FUNCTIONS OF EXPONENTIAL TYPE FOR ORTHOGONAL POLYNOMIALS
• INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES

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