Subclasses of meromorphically multivalent functions defined by a differential operator

ORHAN H., Raducanu D., DENİZ E.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.61, sa.4, ss.966-979, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2010.12.045
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.966-979
  • Anahtar Kelimeler: Analytic functions, Meromorphic functions, Multivalent functions, Differential operator, Subordination, Neighborhoods, GENERALIZED HYPERGEOMETRIC FUNCTION, NEGATIVE COEFFICIENTS, UNIVALENT-FUNCTIONS, NEIGHBORHOODS, FAMILIES
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper we introduce and study two new subclasses Sigma(lambda mu mp)(alpha, beta) and Sigma(+)(lambda mu mp)(alpha, beta) of meromorphically multivalent functions which are defined by means of a new differential operator. Some results connected to subordination properties, coefficient estimates, convolution properties, integral representation and distortion theorems are obtained. We also extend the familiar concept of (n, delta)-neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions. (C) 2010 Elsevier Ltd. All rights reserved.