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The Resolvent Matrix for the Hausdorff Matrix Moment Problem Expressed in Terms of Orthogonal Matrix Polynomials

✍ Scribed by Abdon Eddy Choque Rivero

Book ID
120950690
Publisher
SP Birkhäuser Verlag Basel
Year
2012
Tongue
English
Weight
273 KB
Volume
7
Category
Article
ISSN
1661-8254

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Upward Extension of the Jacobi Matrix fo
Upward Extension of the Jacobi Matrix for Orthogonal Polynomials
✍ 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