Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  556.41002
Autor:  Erdös, Paul
Title:  Problems and results on polynomials and interpolation. (In English)
Source:  Functions, series, operators, Proc. int. Conf., Budapest 1980, Vol. I, Colloq. Math. Soc. János Bolyai 35, 485-495 (1983).
Review:  [For the entire collection see Zbl 523.00007.]
A personal selection by P. Erdös of recent results and open problems about polynomials and Lagrange interpolation. The following problem carries the offer of a {$} 250 reward: Let fn(z) be a polynomial of degree n with leading coefficient 1. Prove that the length of the curve(s) |fn(z)| = 1 is maximal for fn(z) = zn-1.
Reviewer:  T.Kövari
Classif.:  * 41A05 Interpolation
                   30C10 Polynomials (one complex variable)
                   30E05 Moment problems, etc.
                   00A07 Problem books
Keywords:  open problems; polynomials; Lagrange interpolation
Citations:  Zbl 523.00007

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