On power serieshaving sectionswith multiply positive coefficients
Date
2002-03-15
Authors
Zheltukhina, N. A.
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Abstract
Polya’s theorem of 1913 says that if all sections of power series have real negative zeros only, then the series converges in the whole complex plane and its sum satisfies a certain growth condition. Here we show that the assertion of Po´ lya’s theorem remains valid for a much larger class of formal power series and, moreover, a better growth estimate holds.
Source Title
Complex Variables
Publisher
Taylor & Francis
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English