Subclasses of meromorphically multivalent functions defined by a differential operator
COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.61, sa.4, ss.966-979, 2011 (SCI-Expanded, Scopus)
- 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.