On zeros of paraorthogonal polynomials
Copyright policy )On zeros of paraorthogonal polynomials
We prove some results concerning the behaviour of zeros of families of paraorthogonal polynomials on the unit circle. We establish an interlacing property of the zeros of some functions related to the paraorthogonal polynomials. Monotonicity with respect to a parameter is also discussed in detail. A Markov type theorem is proved, and the monotonicity is also considered from a spectral point of view.
Classical hypergeometric functions, \({}_2F_1\), Polynomials and rational functions of one complex variable, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), zeros, paraorthogonal polynomials, Paraorthogonal polynomials, monotonicity
Classical hypergeometric functions, \({}_2F_1\), Polynomials and rational functions of one complex variable, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), zeros, paraorthogonal polynomials, Paraorthogonal polynomials, monotonicity
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