# Polynomials, orthogonal on grids from unit circle and number axis

### DOI: 10.31029/demr.1.1

In current paper we investigate the asymptotic properties of polynomials, orthogonal on arbitrary (not necessarily uniform) grids from an unit circle or segment . When the grid of nodes belongs to the unit circle we consider polynomials orthogonal in the following sense: , where , . In case, when for the asymptotic formula for is established, which in turn, used for investigation of asymptotic properties of polynomials which are orthogonal on grids from .

Keywords: unit circle, number axis, polynomials orthogonal on grids, asymptotics.

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