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文章基本信息

  • 标题:A unified approach to radius of convexity problems for certain classes of univalent analytic functions
  • 本地全文:下载
  • 作者:M. L. Mogra ; O. P. Juneja
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1984
  • 卷号:7
  • 期号:3
  • 页码:443-454
  • DOI:10.1155/S016117128400048X
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We consider functions f analytic in the unit disc and assume the power series representation of the form f ( z ) = z + a n + 1 z n + 1 + a n + 2 z n + 2 + … where a n + 1 is fixed throughout. We provide a unified approach to radius convexity problems for different subclasses of univalent analytic functions. Numerous earlier estimates concerning the radius of convexity such as those involving fixed second coefficient, n initial gaps, n + 1 symmetric gaps, etc. are discussed. It is shown that several known results, follow as special cases of those presented in this paper.

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