Zheltukhina, N. A.2019-02-042019-02-042002-03-150278-1077http://hdl.handle.net/11693/48793Polya’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.EnglishM - times positive sequencePower seriesSectionsArticle10.1080/027810702900322341563-5066