On meromorphically harmonic starlike functions with respect to symmetric conjugate points

Bostanci H., Yalcin S., Ozturk M.

Journal of Mathematical Analysis and Applications, cilt.328, sa.1, ss.370-379, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 328 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jmaa.2006.05.044
  • Dergi Adı: Journal of Mathematical Analysis and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.370-379
  • Anahtar Kelimeler: harmonic, meromorphic, starlike, and convex functions
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In a previous paper M.P. Chen, Z.-R. Wu and Z.-Z. Zou [M.P. Chen, Z.-R. Wu, Z.-Z. Zou, On functions α-starlike with respect to symmetric conjugate points, J. Math. Anal. Appl. 201 (1996) 25-34] developed a method, using some operators, to deal with functions analytic and starlike with respect to symmetric conjugate points in the unit disc. Then, the same method is employed to functions meromorphic by Z.Z. Zou and Z.-R. Wu [Zhong Zhu Zou, Zhuo-Ren Wu, On meromorphically starlike functions and functions meromorphically starlike with respect to symmetric conjugate points, J. Math. Anal. Appl. 261 (2001) 17-27]. Now, the method can be employed to functions meromorphic harmonic in the punctured disc 0 < | z | < 1. Especially, a sharp coefficient estimate and a structural representation of such functions are obtained. © 2006 Elsevier Inc. All rights reserved.