Second Hankel determinant for bi-starlike and bi-convex functions of order beta

Deniz E., Caglar M., ORHAN H.

APPLIED MATHEMATICS AND COMPUTATION, cilt.271, ss.301-307, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 271
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2015.09.010
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.301-307
  • Anahtar Kelimeler: Bi-univalent functions, Bi-starlike functions of order beta, Bi-convex functions of order beta, Seamd Hankel determinant, COEFFICIENT BOUNDS, GENERAL SUBCLASS, UNIVALENT
  • Atatürk Üniversitesi Adresli: Evet

Özet

In the present investigation the authors obtain upper bounds for the second Hankel determinant H-2(2) of the classes bi-starlike and bi-convex functions of order beta, represented by S-sigma*(beta) and K-sigma(beta), respectively. In particular, the estimates for the second Hankel determinant H-2(2) of bi-starlike and bi-convex functions which are important subclasses of bi-univalent functions are pointed out. (C) 2015 Elsevier Inc. All rights reserved.