11 Nov
2011
11 Nov
'11
2:51 p.m.
Aren't the Bernstein polynomials ASU? --rwg --WDS: I don't think so? http://mathworld.wolfram.com/BernsteinPolynomial.html Remember ASU functions are NOT closed under addition and NOT closed under multiplication... or do you have some non-obvious recurrence in mind? The Chebyshev polynomials of power-of-2 degree are ASU due to iterating 2 * x^2 - 1, but I do not think Chebyshev polys of most other degrees are. All quadratics are ASU, but I do not think all cubics are. ASU ought to be up your (Rwg's) alley since you are big on solving polys by radicals... well, ASU polynomials all are soluble. Instant corollary: not all quintics are ASU.