Co-recursivity and Karlin-McGregor duality for indeterminate moment problems

DOI10.1007/BF02437507zbMath0873.33005OpenAlexW2024470754MaRDI QIDQ1357544

Galliano Valent

Publication date: 4 November 1997

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02437507

zbMATH Keywords

indeterminate moment problemsbirth and death process

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Explicit solutions, first integrals of ordinary differential equations (34A05) Other functions coming from differential, difference and integral equations (33E30) Moment problems (44A60) Elliptic functions and integrals (33E05)

Related Items (2)

Indeterminate moment problems related to birth and death processes with quartic rates ⋮ New Nevanlinna matrices for orthogonal polynomials related to cubic birth and death processes

Cites Work

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• Indeterminate symmetric moment problems
• Orthogonal polynomials, associated polynomials and functions of the second kind
• Extremal measures for a system of orthogonal polynomials
• Orthogonal polynomials for a quartic birth and death process
• On the order and type of the entire functions associated with an indeterminate Hamburger moment problem
• Markov's theorem revisited
• The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes
• Stieltjes moment problems and the Friedrichs extension of a positive definite operator
• Exact solutions of some quadratic and quartic birth and death processes and related orthogonal polynomials
• On Co-Recursive Orthogonal Polynomials
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• The Classification of Birth and Death Processes
• Asymptotic Analysis of Some Associated Orthogonal Polynomials Connected with Elliptic Functions
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals

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