The parameters of a chain sequence

Author:
T. S. Chihara

Journal:
Proc. Amer. Math. Soc. **108** (1990), 775-780

MSC:
Primary 40A15; Secondary 42C05

DOI:
https://doi.org/10.1090/S0002-9939-1990-1002153-7

MathSciNet review:
1002153

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1990-1002153-7

Keywords:
Chain sequence,
continued fractions,
orthogonal polynomials,
birth and death process

Article copyright:
© Copyright 1990
American Mathematical Society