Herbert Stahl

Orthogonal polynomials with complex-valued weight function, I

AbstractIn this paper we investigate the asymptotic behavior of polynomialsQmn(z), m, n ∈ N, of degree ≤n that satisfy the orthogonal relationn

Extremal domains associated with an analytic function I

oint_c {zeta ^l Q_{mn} (zeta )} frac{{f(zeta )dzeta }}{{omega _{m + n} (zeta )}} = 0,l = 0,...,n - 1,

On the convergence of generalized Padé approximants

n where/tf(z) is a function, which is supposed to be analytic on a continuumn

Spurious poles in Pade´ approximation

V subseteq hat C

Best uniform rational approximation of xα on [0, 1]

n and all its singularities are supposed to be contained in a setn