A note for the length by certain starlike mappings


Nunokawa M., UYANIK N., Owa S.

Revue Roumaine de Mathematiques Pures et Appliquees, cilt.58, sa.1, ss.1-7, 2013 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 1
  • Basım Tarihi: 2013
  • Dergi Adı: Revue Roumaine de Mathematiques Pures et Appliquees
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1-7
  • Anahtar Kelimeler: analytic function, starlike function, subordination
  • Anadolu Üniversitesi Adresli: Hayır

Özet

Let A be the class of functions f(z) which are analytic in the open unit disk U with f(0) = 0 and f'(0) = 1. Denote the length L(r) of the image curve of vertical bar z vertical bar = r < 1 by f(z) is an element of A. The object of the present paper is to consider L(r) for certain starlike mappings f(z) satisfying some subordination in U.