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Biorthogonal matrix polynomials related to Jacobi matrix polynomials

✍ Scribed by Serhan Varma; Fatma Taşdelen


Book ID
113512050
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
248 KB
Volume
62
Category
Article
ISSN
0898-1221

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📜 SIMILAR VOLUMES


Matrix valued Jacobi polynomials
✍ F.Alberto Grünbaum 📂 Article 📅 2003 🏛 Elsevier Science 🌐 French ⚖ 76 KB

For every value of the parameters α, β > -1 we find a matrix valued weight whose orthogonal polynomials satisfy an explicit differential equation of Jacobi type.

Upward Extension of the Jacobi Matrix fo
✍ André Ronveaux; Walter Van Assche 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 647 KB

Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) which uniquely characterizes the orthogonal polynomials. We investigate new orthogonal polynomials by adding to the Jacobi