The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes

DOI10.4310/MAA.1994.v1.n2.a3zbMath0966.44500MaRDI QIDQ1902353

Publication date: 29 July 2001

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Moment problems (44A60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

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Inverse of infinite Hankel moment matrices ⋮ Nevanlinna extremal measures for polynomials related to \(q^{-1}\)-Fibonacci polynomials ⋮ A transformation from Hausdorff to Stieltjes moment sequences ⋮ Shell polynomials and dual birth-death processes ⋮ Nevanlinna extremal measures for some orthogonal polynomials related to birth and death processes ⋮ Moment problems and polynomial approximation ⋮ de Branges Spaces and Growth Aspects ⋮ Jacobi Matrices and de Branges Spaces ⋮ Co-recursivity and Karlin-McGregor duality for indeterminate moment problems ⋮ Correction to a paper by A. G. Pakes ⋮ Stieltjes classes for moment-indeterminate probability distributions ⋮ A nonlinear approach to signal processing by means of vector measure orthogonal functions ⋮ Indeterminate moment problems and the theory of entire functions ⋮ Exact solutions of some quadratic and quartic birth and death processes and related orthogonal polynomials ⋮ The \(q\)-Laguerre polynomials and related moment problems ⋮ Polynomial birth-death processes and the second conjecture of Valent ⋮ The Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate case ⋮ On the order of indeterminate moment problems ⋮ Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems ⋮ The Euler and Springer numbers as moment sequences ⋮ Subnormality of unbounded composition operators over one-circuit directed graphs: exotic examples ⋮ 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 ⋮ A question by T. S. Chihara about shell polynomials and indeterminate moment problems ⋮ Some orthogonal polynomials related to elliptic functions ⋮ Order problem for canonical systems and a conjecture of Valent ⋮ Orthogonality relations for Al-Salam-Carlitz polynomials of type II ⋮ Continuous Stieltjes-Wigert limiting behaviour of a family of confluent \(q\)-Chu-Vandermonde distributions

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