Ostrovskii, I. V.2019-01-312019-01-312005-051617-9447http://hdl.handle.net/11693/48645Let Pmn, 0 < m < n− 1, be a polynomial formed by the first m terms of the expansion of (1 + z)n according to the binomial formula. We show that, if m, n→∞ in such a way that limm,n→∞ m/n = α ∈ (0, 1), then the zeros of Pmn tend to a curve which can be explicitly described.EnglishAsymptotic formulaConformal mappingPolynomialSubharmonic functionSzego’s methodUnivalent functionZerosArticle2195-3724