Sufficient conditions for starlikeness of order alpha for meromorphic functions


Nunokawa M., Owa S., UYANIK N., Shiraishi H.

MATHEMATICAL AND COMPUTER MODELLING, cilt.55, ss.1245-1250, 2012 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.10.004
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1245-1250
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let Sigma be the class of functions F (z) which are meromorphic in the punctured open unit disk U*. Applying the results by Nunokawa [ M. Nunokawa, On properties of non-Caratheodory functions, Proc. Japan Acad. 68 (1992) 152-153] and Fukui and Sakaguchi [S. Fukui and K. Sakaguchi, An extension of a theorem of S. Ruscheweyh, Bull. Fac. Edu. Wakayama Univ. Nat. Sci. 29 (1980) 1-3], we derive some sufficient conditions for meromorphic strongly starlikeness for function F (z) epsilon Sigma with some interesting corollaries. (C) 2011 Elsevier Ltd. All rights reserved.