On Sieved Orthogonal Polynomials .9. Orthogonality On The Unit-Circle
Title - Alternative
Pac. J. Math.
We study sieved orthogonal polynomials on the unit circle and using a result of Szego we show that there is a one to one correspondence between a family of sieved orthogonal polynomials on the unit circle and two families of sieved orthogonal polynomials on the interval [-1, 1], namely sieved polynomials of the first and second kinds. We find explicit representations of the sieved polynomials and the Herglotz transform of the measure with respect to which they are orthogonal.
Pacific Journal of Mathematics
Ismail, M. E. H. and Xin, L., "On Sieved Orthogonal Polynomials .9. Orthogonality On The Unit-Circle" (1992). Faculty Bibliography. 1787.