HIGHER ORDER CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH ATTIYA-SRIVASTAVA OPERATOR

被引：0

作者：

Hussain, S. ^{[1
]}

Arif, M. ^{[2
]}

Malik, S. Nawaz ^{[3
]}

机构：

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

[2] Abdul Wall Khan Univ, Dept Math, Mardan, Pakistan

[3] COMSATS Inst Informat Technl, Dept Math, Wah Cantt, Pakistan

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2014年 / 40卷 / 04期

关键词：

Close-to-convex functions; bounded boundary rotation; Attiya-Srivastava operator; LERCH ZETA-FUNCTION; ANALYTIC-FUNCTIONS; INTEGRAL OPERATOR; STARLIKE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new classTt(k)(s,a)[A, B, alpha,beta] of analytic functions by using a newly defined convolution operator. This class contains many known classes of analytic and univalent functions as special cases. We derived some interesting results including inclusion relationships, a radius problem and sharp coefficient bound for this class.

引用

页码：911 / 920

页数：10

共 17 条

[1] Functions which map the interior of the unit circle upon simple regions. [J].

Alexander, JW .

ANNALS OF MATHEMATICS, 1915, 17 :12-22

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

BERNARDI, SD .

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

[3] Inclusion properties of certain subclasses of analytic functions defined by a multiplier transformation [J].

Cho, Nak Eun ;

Kim, Ji A. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (3-4) :323-330

[4]

Goodman A. W., 1983, Univalent Functions

[5]

Janowski W., 1973, Ann. Polon. Math, V28, P297, DOI [10.4064/ap-28-3-297-326, DOI 10.4064/AP-28-3-297-326]

[6]

Miller S. S., 1975, B AM MATH SOC, V81, P70

[7] Applications of certain operators to the classes related with generalized Janowski functions [J].

Noor, Khalida Inayat .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (08) :557-567

[8] ON SOME UNIVALENT INTEGRAL-OPERATORS [J].

NOOR, KI .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 128 (02) :586-592

[9]

Noor KI., 1992, Internat. J. Math. Math. Sci, V15, P279, DOI [10.1155/S016117129200036X, DOI 10.1155/S016117129200036X]

[10] ON ANALYTIC-FUNCTIONS WITH REFERENCE TO AN INTEGRAL OPERATOR [J].

PARVATHAM, R ;

SHANMUGAM, TN .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1983, 28 (02) :207-215

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