Some results on certain classes of multivalently analytic functions based on differential subordination involving a convolution structure

被引：4

作者：

Prajapat, J. K. ^{[1
]}

Raina, R. K. ^{[2
]}

机构：

[1] Cent Univ Rajasthan, Dept Math, Kishangarh, Rajasthan, India

[2] MP Univ Agr & Technol, Udaipur, India

来源：

MATHEMATICA SLOVACA | 2010年 / 60卷 / 04期

关键词：

multivalently analytic functions; Hadamard product (or convolution); differential subordination; Dziok-differintegral operator; hypergeometric functions; Dziok-Srivastava linear operator; GENERALIZED HYPERGEOMETRIC FUNCTION; UNIVALENT-FUNCTIONS;

D O I：

10.2478/s12175-010-0026-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Making use of the familiar convolution structure of analytic functions, we introduce a general class of multivalently analytic functions and derive various useful properties and characteristics of this function class by using the techniques of differential subordination. Several other results are presented exhibiting relevant connections to some of the results obtained in earlier works.

引用

页码：471 / 484

页数：14

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