Archiv der Mathematik

, Volume 77, Issue 4, pp 354–359 | Cite as

A Tauberian theorem for power series

  • T. Hilberdink


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.


Power Series Open Unit Integral Formula Easy Consequence Tauberian Theorem 
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Copyright information

© Birkhäuser Verlag, Basel 2001

Authors and Affiliations

  • T. Hilberdink
    • 1
  1. 1.Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6BB, England,

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