Certain subclasses of analytic functions associated with the generalized hypergeometric function

被引：255

作者：

Dziok, J ^{[1
]}

Srivastava, HM

机构：

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

[2] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2003年 / 14卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

analytic functions; generalized hypergeometric function; Montel's normalization; Hadamard product (or convolution); starlike functions; convex functions;

D O I：

10.1080/10652460304543

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, the authors introduced and studied certain subclasses of analytic functions (associated with the generalized hypergeometric function) using the classical normalization. The main object of this sequel to the earlier work is to present a systematic investigation of various subclasses of analytic functions using Montel's normalization. Coefficients estimates, distortion theorems, and the radii of convexity and starlikeness for each of these classes are given.

引用

页码：7 / 18

页数：12

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