Some Classes of p-valent Analytic Functions Associated with Hypergeometric Functions

被引：2

作者：

Noor, Khalida Inayat ^{[1
]}

Khan, Nasir ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

来源：

FILOMAT | 2015年 / 29卷 / 05期

关键词：

Convolution; bounded boundary rotation; integral operator; radius problems; functions with positive real part; SUBCLASSES; RADIUS;

D O I：

10.2298/FIL1505031N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a linear operator on the class A(p) of p-valent analytic functions in the open unit disc involving Gauss hypergeometric functions and introduce certain new subclasses of A(p) using this operator. Some inclusion results, a radius problem and several other interesting properties of these classes are studied.

引用

页码：1031 / 1038

页数：8

共 23 条

[1] Majorization for certain subclasses of analytic functions involving the generalized Noor integral operator [J].

Caglar, Murat ;

Orhan, Halit ;

Deniz, Erhan .

FILOMAT, 2013, 27 (01) :143-148

[2] STARLIKE AND PRESTARLIKE HYPERGEOMETRIC-FUNCTIONS [J].

CARLSON, BC ;

SHAFFER, DB .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (04) :737-745

[3] Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators [J].

Cho, NE ;

Kwon, OS ;

Srivastava, HM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (02) :470-483

[4]

Coonce H. B., 1974, REV ROUM MATH PURE A, V19, P1093

[5] Univalence Criteria for a General Integral Operator [J].

Deniz, Erhan .

FILOMAT, 2014, 28 (01) :11-19

[6] 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

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

Dziok, J ;

Srivastava, HM .

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

[8]

Goodman A.W., 1983, UNIVALENT FUNCTIONS, VII

[9]

Goodman AW., 1983, Univalent functions

[10] SOME CLASSES OF REGULAR UNIVALENT FUNCTIONS [J].

LIBERA, RJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) :755-&

← 1 2 3 →