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The order of starlikeness of uniformly convex functions

  • Agnieszka Wiśniowska-Wajnryb EMAIL logo
Published/Copyright: May 25, 2017

Abstract

We investigate classes of k-uniformly convex functions which generalize the class UCV introduced by Goodman in 1991. We solve the problem of finding the largest α0 such that the class of k-uniformly convex functions is contained in the class of starlike functions of order α.

MSC 2010: 30C45

References

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Received: 2016-11-18
Accepted: 2016-12-31
Published Online: 2017-5-25
Published in Print: 2017-6-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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