Browsing by Subject "Series infinite."

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    On power series with one singular point at circumference of convergence
    (2002) Yardımcı, Umut
    We obtain two refinements of Faber’s theorem related to power series with one singular point at circumference of convergence. The first one characterizes growth at the singular point in more precise scale of growth. The second one characterizes the growth at the singular point using series expansions both inside and outside the disc of convergence.