Subclasses of analytic functions associated with the generalized hypergeometric function

被引：3

作者：

Aouf, M. K. ^{[1
]}

Darwish, H. E. ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 03期

关键词：

Analytic; Distortion theorem; Hypergeometric function; Modified Hadamard product; NEGATIVE COEFFICIENTS; MULTIVALENT-FUNCTIONS; RUSCHEWEYH DERIVATIVES; UNIVALENT FUNCTIONS;

D O I：

10.1016/j.camwa.2007.11.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the generalized hypergeometric function, we study a class Phi(p)(k)(q, s; A, B, lambda) of analytic functions with negative coefficients. Coefficient estimates, distortion theorem, extreme points and the radii of close-to-convexity and convexity for this class are given. We also derive many results for the modified Hadamard product of functions belonging to the class Phi(p)(k)(q, s: A, B, lambda). (C) 2009 Published by Elsevier Ltd

引用

页码：356 / 366

页数：11

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