Some properties for a certain class concerned with univalent functions

Kuroki K., Hayami T., UYANIK N., Owa S.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.63, sa.10, ss.1425-1432, 2012 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 10
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.camwa.2012.03.048
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1425-1432
  • Anahtar Kelimeler: Schwarz's lemma, Analytic function, Univalent function, Starlike of order alpha
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let A(n) be the class of functions f (z) which are analytic with f (0) = 0 and f((j))(0) = 0 (j = 1, 2, 3, ... , n) in the open unit disk U. For such functions f (z), the subclass T-n(mu) of A(n) is introduced. The object of the present paper is to discuss some properties for f (z) in the class T-n(mu) concerned with some sufficient conditions for f (z) to be univalent in U. (C) 2012 Elsevier Ltd. All rights reserved.