Subclasses of meromorphically multivalent functions defined by a differential operator

Halit Orhan; Dorina Raducanu; Erhan Deniz

paper

Subclasses of meromorphically multivalent functions defined by a differential operator

arXiv:1008.4691

Abstract

In this paper we introduce and study two new subclasses Σ_{λμ mp}(α,β) $an d$ Σ^{+}_{λμmp}(α,β) $o f m er o m or p hi c a l l y m u l t i v a l e n t f u n c t i o n s w hi c ha r e d e f in e d b y m e an so f an e w d i f f er e n t ia l o p er a t or . S o m er es u l t sco nn ec t e d t os u b or d ina t i o n p r o p er t i es, coe f f i c i e n t es t ima t es, co n v o l u t i o n p r o p er t i es, in t e g r a l r e p r ese n t a t i o n, d i s t or t i o n t h eor e m s a r eo b t ain e d . W e a l soe x t e n d t h e f ami l ia r co n ce pt o f$ % (n,δ)-$neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions.