On Fabry's quotient theorem

14 Apr 2020 Buhovsky Lev

We present a short proof of the Fabry quotient theorem, which states that for a complex power series with unit radius of convergence, if the quotient of its consecutive coefficients tends to $ s $, then the point $ z=s $ is a singular point of the series. This proof only uses material from undergraduate university studies...

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  • COMPLEX VARIABLES