Abstract.
In this paper we prove a complex Tauberian theorem for functions analytic in the open unit disc.The method used is based on Cauchy's integral formula for the Taylor coefficients. We show how a Blackwell type renewal theorem is an easy consequence of our main result.
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Eingegangen am 21.6.1999
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Hilberdink, T. A Tauberian theorem for power series. Arch. Math. 77, 354–359 (2001). https://doi.org/10.1007/PL00000503
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DOI: https://doi.org/10.1007/PL00000503