COEFFICIENT BOUNDS FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS


Altınkaya Ş., Yalçın Tokgöz S.

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.6, no.2, pp.180-185, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1016/j.crma.2015.09.003
  • Journal Name: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.180-185
  • Keywords: analytic and univalent functions, bi-univalent functions, Salagean derivative
  • Bursa Uludag University Affiliated: Yes

Abstract

An analytic function f defined on the open unit disk U = {z : vertical bar z vertical bar < 1} is biunivalent if the function f and its inverse f(-1) are univalent in U. Inspired by the recent work of Hamidi et al. [8], we propose to investigate the coefficient estimates for a general class of analytic and bi-univalent functions. Also, we obtain estimates on the coefficients vertical bar a(2)vertical bar, vertical bar a(3)vertical bar and vertical bar a(n)vertical bar for functions in this class. Some earlier results are shown to be special cases of our results.