There exist numbers
, , , such that

where , 2, ..., , and . Furthermore, the zeros , ..., , arranged in increasing order, alternate with the numbers , ..., so

More precisely,

for , ..., .

**References**

Szegö, G. *Orthogonal Polynomials, 4th ed.* Providence, RI: Amer. Math. Soc., p. 50, 1975.

© 1996-9

1999-05-26