Siberian Mathematical Journal

, Volume 43, Issue 2, pp 379–387 | Cite as

On the Coefficient Problem for Univalent Functions

  • V. G. Sheretov


We prove a criterion for analytic functions to belong to the classes S(p) and Σ(p) of univalent functions with p-multiple circular symmetry in terms of countable systems of exact coefficient inequalities. As a consequence we obtain a description for the corresponding domains of coefficients.


Analytic Function Univalent Function Countable System Circular Symmetry Coefficient Problem 
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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • V. G. Sheretov
    • 1
  1. 1.Tver' State UniversityTver'

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