The parameters of a chain sequence-Reference-Cited by-同舟云学术

The parameters of a chain sequence

Published:1990 Issue:3 Volume:108 Page:775-780
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chihara T. S.

Abstract

We give a method for constructing explicitly all parameter sequences for any chain sequence for which one parameter sequence is known. An application to orthogonal polynomials associated with birth and death processes is given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1990-108-03/S0002-9939-1990-1002153-7/S0002-9939-1990-1002153-7.pdf

Reference13 articles.

1. Chain sequences and orthogonal polynomials;Chihara, T. S.;Trans. Amer. Math. Soc.,1962

2. Mathematics and its Applications, Vol. 13;Chihara, T. S.,1978

3. Spectral properties of orthogonal polynomials on unbounded sets;Chihara, T. S.;Trans. Amer. Math. Soc.,1982

4. Orthogonal polynomials and measures with end point masses;Chihara, T. S.;Rocky Mountain J. Math.,1985

5. Hamburger moment problems and orthogonal polynomials;Chihara, T. S.;Trans. Amer. Math. Soc.,1989

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1. Random walks with similar transition probabilities;Journal of Computational and Applied Mathematics;2003-04

2. Chain sequences and symmetric generalized orthogonal polynomials;Journal of Computational and Applied Mathematics;2002-06

3. Ted Chihara and his work on orthogonal polynomials;Journal of Computational and Applied Mathematics;2001-08

4. Families of birth-death processes with similar time-dependent behaviour;Journal of Applied Probability;2000-09

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