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

共 19 条

[1]

Abramowitz M., 1971, Handbook of mathematical functions with formulas, graph, and mathematical tables, V9

[2]

Aghalary A R., 2004, JIPAM J INEQUAL PURE, V5, P1

[3]

[Anonymous], 1989, UNIVALENT FUNCTIONS

[4] Subclasses of analytic functions associated with the generalized hypergeometric function [J].

Aouf, M. K. ;

Darwish, H. E. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) :356-366

[5] CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].

BERNARDI, SD .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&

[6]

Dinggon Yang, 2002, [Bulletin of the KMS, 대한수학회보], V39, P123

[7] Applications of the Jack Lemma [J].

Dziok, J .

ACTA MATHEMATICA HUNGARICA, 2004, 105 (1-2) :93-102

[8] Certain subclasses of analytic functions associated with the generalized hypergeometric function [J].

Dziok, J ;

Srivastava, HM .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2003, 14 (01) :7-18

[9] Classes of analytic functions associated with the generalized hypergeometric function [J].

Dziok, J ;

Srivastava, HM .

APPLIED MATHEMATICS AND COMPUTATION, 1999, 103 (01) :1-13

[10]

Dziok J., 2004, P JANGIEON MATH SOC, V7, P43

← 1 2 →