A certain family of meromorphically multivalent functions

被引：27

作者：

Joshi, SB ^{[1
]}

Srivastava, HM

机构：

[1] Walchand Coll Engn, Dept Math, Sangli 416415, Maharashtra, India

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 38卷 / 3-4期

基金：

加拿大自然科学与工程研究理事会;

关键词：

meromorphic functions; p-valent functions; Ruscheweyh derivative; analytic functions; inclusion property; integral operator; Hadamard product (or convolution); Jack's Lemma; Parseval's identity;

D O I：

10.1016/S0898-1221(99)00194-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By making use of a familiar analogue of the Ruscheweyh derivative as well as of the principle of subordination between two analytic functions, the authors introduce and study rather systematically a certain family of meromorphically multivalent functions in the open unit disk U := {z : z is an element of C and 1\z\ < 1}. Several inclusion properties of this family are associated with an integral operator of the Bernardi-Libera-Livingston type. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：201 / 211

页数：11

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