GENERATING FUNCTIONS OF EXPONENTIAL TYPE FOR ORTHOGONAL POLYNOMIALS

DOI10.1142/S0219025704001530zbMath1053.42027MaRDI QIDQ4474486

Izumi Kubo

Publication date: 12 July 2004

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

zbMATH Keywords

generating functionsorthogonal polynomialsmultiplicative renormalizationSzegö-Jacobi parameters

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)

Related Items (12)

Characterization of quadratic Cauchy-Stieltjes kernel families based on the orthogonality of polynomials ⋮ Explicit forms of \(q\) -deformed Lévy-Meixner polynomials and their generating functions ⋮ Some Characterization Problems Related to Sheffer Polynomial Sets ⋮ CHARACTERIZATION OF OPERATORS ON A KONDRATIEV SPACE IN THE NON-GAUSSIAN SETTING: BIORTHOGONAL APPROACH ⋮ HILBERT SPACE OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE MODIFIED BESSEL FUNCTION AND RELATED ORTHOGONAL POLYNOMIALS ⋮ Ond-orthogonal polynomials of Sheffer type ⋮ WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES ⋮ MRM-FACTORS FOR THE PROBABILITY MEASURES IN THE MEIXNER CLASS ⋮ GENERATING FUNCTIONS OF CAUCHY–STIELTJES TYPE FOR ORTHOGONAL POLYNOMIALS ⋮ INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES ⋮ THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES ⋮ Lévy white noise calculus based on interaction exponents

Cites Work

• Processes of Meixner type
• Interacting Fock Spaces and Gaussianization of Probability Measures
• ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE
• Unnamed Item

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