11/28/2009, 10:56 PM
(11/28/2009, 10:36 PM)mike3 Wrote:Quote:The functionis single-valued and analytic on G [described as "the domain G bounded by the segment u >= 1, v = 0 (the part of the real axis going from 1 to
", which sounds like the Mittag-Leffler star of that function], and hence, by Runge's theorem (Theorem 3.5) there exists a sequence of polynomials
such that
where the convergence is uniform inside G, in particular on the compact set.
yes thats the same as in the 1967 edition.
There you will also find Runge's theorem.