Bernstein-Szegö Polynomials

The Polynomials on the interval $[-1,1]$ associated with the Weight Functions

$$w(x) = (1-x^2)^{-1/2}$$

$$w(x) = (1-x^2)^{1/2}$$

$$w(x) = \sqrt{1-x\over 1+x},$$

also called Bernstein Polynomials.

References

Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 31-33, 1975.