General properties of concave functions defined by the generalized Srivastava-Attiya operator

被引：0

作者：

Bayram, Hasan ^{[1
]}

Altinkaya, Sahsene ^{[1
]}

机构：

[1] Uludag Univ, Fac Arts & Sci, Dept Math, Bursa, Turkey

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 03期

关键词：

Hadamard product; concave functions; linear operator; distortion theorem; Hurwitz-Lerch Zeta functions; Srivastava-Attiya operator; LERCH-ZETA-FUNCTION; ANALYTIC-FUNCTIONS; HYPERGEOMETRIC FUNCTION; UNIVALENT-FUNCTIONS; INTEGRAL OPERATOR; FAMILIES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we introduce a class (F mu.bC0)-C-m,k (alpha) of concave functions by using the generalized Srivastava-Attiya operator. Also, we get distortion bounds for this class.

引用

页码：408 / 416

页数：9

共 22 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] Some subordination results associated with generalized Srivastava-Attiya operator [J].

Attiya, Adel A. ;

Hakami, Ali H. .

ADVANCES IN DIFFERENCE EQUATIONS, 2013,

[3]

Avkhadiev FG, 2006, COMMENT MATH HELV, V81, P801

[4]

Avkhadiev F. G., 2002, COMPLEX VARIABLES TH, V47, P556

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

BERNARDI, SD .

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

[6] Characterization and the pre-Schwarzian norm estimate for concave univalent functions [J].

Bhowmik, Bappaditya ;

Ponnusamy, Saminathan ;

Wirths, Karl-Joachim .

MONATSHEFTE FUR MATHEMATIK, 2010, 161 (01) :59-75

[7] Certain families of series associated with the Hurwitz-Lerch Zeta function [J].

Choi, JS ;

Srivastava, HM .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 170 (01) :399-409

[8]

Cruz L., 2007, Complex Var. Elliptic Equ, V52, P153, DOI DOI 10.1080/17476930601063693

[9] 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

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

Dziok, J ;

Srivastava, HM .

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

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