11/28/2009, 10:56 PM

(11/28/2009, 10:36 PM)mike3 Wrote:Quote:The function is 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.