Let be an th degree Polynomial with zeros at , ..., . Then the fundamental
Polynomials are
(1) |
(2) |
(3) | |||
(4) | |||
(5) | |||
(6) |
(7) |
(8) | |||
(9) |
(10) |
(11) |
(12) | |||
(13) | |||
(14) | |||
(15) | |||
(16) | |||
(17) |
References
Hildebrand, F. B. Introduction to Numerical Analysis. New York: McGraw-Hill, pp. 314-319, 1956.
Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 330-332, 1975.
© 1996-9 Eric W. Weisstein