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Polynomials generated by a three term recurrence relation: bounds for complex zeros
(Elsevier B.V., 2005-03-01)
This paper deals with the zeros of polynomials generated by a certain three term recurrence relation. The main objective is to find bounds, in terms of the coefficients of the recurrence relation, for the regions where the ...
Orthogonal polynomials on the unit circle and chain sequences
(2013-09-01)
Szego{double acute} has shown that real orthogonal polynomials on the unit circle can be mapped to orthogonal polynomials on the interval [-1,1] by the transformation 2x=z+z-1. In the 80's and 90's Delsarte and Genin showed ...