New Nevanlinna matrices for orthogonal polynomials related to cubic birth and death processes

DOI10.1016/j.cam.2004.05.025zbMath1084.33004OpenAlexW2039382336MaRDI QIDQ1772344

Elie Leopold, Jacek Gilewicz, Galliano Valent

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.05.025

zbMATH Keywords

Orthogonal polynomialsN-extremal measuresCubic birth and death processesIndeterminate moment problems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Moment problems (44A60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (9)

Inverse of infinite Hankel moment matrices ⋮ A formula for the coefficients of orthogonal polynomials from the three-term recurrence relations ⋮ de Branges Spaces and Growth Aspects ⋮ Jacobi Matrices and de Branges Spaces ⋮ Polynomial birth-death processes and the second conjecture of Valent ⋮ Asymptotic expansion of orthogonal polynomials via difference equations ⋮ Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems ⋮ Indeterminate moment problems related to birth and death processes with quartic rates ⋮ Order problem for canonical systems and a conjecture of Valent

Cites Work

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• Some indetermining moment problems and Freud-like weights
• The classical moment problem as a self-adjoint finite difference operator
• On the order and type of the entire functions associated with an indeterminate Hamburger moment problem
• Co-recursivity and Karlin-McGregor duality for indeterminate moment problems
• The Nevanlinna parametrization and the indeterminate Stieltjes moment problem
• Indeterminate moment problems related to birth and death processes with quartic rates
• 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
• On the Krein and Friedrichs extensions of a positive Jacobi operator
• Some cubic birth and death processes and their related orthogonal polynomials
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem

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