It is demonstrated by elementary means that the Chebyshev polynomials Tn(z) areoptimal for ellipses in C in a way that extends the classical properties for Tn(x) relative to the real interval [-1, 1].

Stabilized or Chebyshev explicit methods have been widely used in the past to solve stiff ordinary differential equations. Making use of special properties of Chebyshev-like polynomials, these methods ...