On the power series whose lnitial coefficients are given
نویسندگان
چکیده
منابع مشابه
Power series with restricted coefficients and a root on a given ray
We consider bounds on the smallest possible root with a specified argument φ of a power series f(z) = 1 + ∑∞ n=1aiz i with coefficients ai in the interval [−g, g]. We describe the form that the extremal power series must take and hence give an algorithm for computing the optimal root when φ/2π is rational. When g ≥ 2√2 + 3 we show that the smallest disc containing two roots has radius ( √ g + 1...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1927
ISSN: 0386-2194
DOI: 10.3792/pia/1195581909