Stable Calculation of Krawtchouk Functions from Triplet Relations

Stable Calculation of Krawtchouk Functions from Triplet Relations

Deployment of the recurrence relation or difference equation to generate discrete classical orthogonal polynomials is vulnerable to error propagation. This issue is addressed for the case of Krawtchouk functions, i.e., the orthonormal basis derived from the Krawtchouk polynomials. An algorithm is pr...

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Bibliographic Details
Main Author: Albertus C. den Brinker
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
orthogonal polynomials
Krawtchouk polynomials
Krawtchouk functions
error propagation
difference equation
three-term recurrence relation
Online Access:https://www.mdpi.com/2227-7390/9/16/1972

Internet

https://www.mdpi.com/2227-7390/9/16/1972

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