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Fourth Order Linear Recurrences Satisfied by Wythoff Pairs

✍ Scribed by J.N. Ridley


Book ID
110302936
Publisher
Springer US
Year
2001
Tongue
English
Weight
74 KB
Volume
5
Category
Article
ISSN
1382-4090

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✍ R Barrio; S Serrano πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 175 KB

In this paper, we present an algorithm to construct linear recurrences of any odd order satisfied by classical families of orthogonal polynomials on the real line.

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Starting from the DΟ‰-Riccati difference equation satisfied by the Stieltjes function of a linear functional, we work out an algorithm which enables us to write the general fourthorder difference equation satisfied by the associated of any integer order of orthogonal polynomials of the βˆ†-Laguerre-Hah