Initial Coefficient Bounds for a General Class of Bi-Univalent Functions

ORHAN H., Magesh N., Balaji V. K.

FILOMAT, cilt.29, sa.6, ss.1259-1267, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.2298/fil1506259o
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1259-1267
  • Anahtar Kelimeler: Analytic functions, univalent functions, bi-univalent functions, starlike and convex functions, bi-starlike and bi-convex functions, SUBCLASSES, STARLIKE
  • Atatürk Üniversitesi Adresli: Evet

Özet

Recently, Srivastava et al. [22] reviewed the study of coefficient problems for bi-univalent functions. Inspired by the pioneering work of Srivastava et al. [22], there has been triggering interest to study the coefficient problems for the different subclasses of bi-univalent functions (see, for example, [1, 3, 6, 7, 27, 29],). Motivated essentially by the aforementioned works, in this paper 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 and vertical bar a(3)vertical bar for functions in this new class. Further, we discuss some interesting remarks, corollaries and applications of the results presented here.