scholarly journals Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle

2007 ◽  
Vol 200 (1) ◽  
pp. 424-440 ◽  
Author(s):  
Ruymán Cruz-Barroso ◽  
Leyla Daruis ◽  
Pablo González-Vera ◽  
Olav Njåstad
2007 ◽  
Vol 206 (2) ◽  
pp. 950-966 ◽  
Author(s):  
Ruymán Cruz-Barroso ◽  
Leyla Daruis ◽  
Pablo González-Vera ◽  
Olav NjÅstad

2014 ◽  
Vol 47 (1) ◽  
Author(s):  
Vasile Lauric

AbstractIn this note we study the connection between orthogonal polynomials on an ellipse and orthogonal Laurent polynomials on the unit circle relative to some multiplicative measures and then establish the recurrence relations for orthogonal polynomials on an ellipse. The matrix representation of the operator of multiplication by coordinate function is obtained


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