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Computation of the Entropy of Polynomials Orthogonal on an Interval

✍ Scribed by Buyarov, V.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Lara, J.

Book ID
118190508
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
401 KB
Volume
26
Category
Article
ISSN
1064-8275

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On Some Classes of Polynomials Orthogonal on Arcs of the Unit Circle Connected with Symmetric Orthogonal Polynomials on an Interval
✍ Alexei Zhedanov 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 404 KB

Starting from the Delsarte Genin (DG) mapping of the symmetric orthogonal polynomials on an interval (OPI) we construct a one-parameter family of polynomials orthogonal on the unit circle (OPC). The value of the parameter defines the arc on the circle where the weight function vanishes. Some explici