Browsing by Subject "M - times positive sequence"

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    On power serieshaving sectionswith multiply positive coefficients
    (Taylor & Francis, 2002-03-15) Zheltukhina, N. A.
    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.