A Family of Multivalent Analytic Functions Associated with Srivastava-Tomovski Generalization of the Mittag-Leffler Function

被引：7

作者：

Cang, Yi-Ling ^{[1
]}

Liu, Jin-Lin ^{[2
]}

机构：

[1] Suqian Coll, Dept Math, Suqian 223800, Peoples R China

[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

来源：

FILOMAT | 2018年 / 32卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Analytic function; Srivastava-Wright operator; Srivastava-Tomovski generalization of the Mittag-Leffler function; subordination; Hadamard product (convolution); convex univalent; Fekete-Szego inequality; FRACTIONAL DERIVATIVE OPERATORS; OPERATIONAL CALCULUS;

D O I：

10.2298/FIL1813619C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce an operator associated with Srivastava-Tomovski generalization of the Mittag-Leffler function. By using this operator and the virtue of differential subordination, we define a new family of multivalent analytic functions. Some novel properties such as inclusion relation, Hadamard product and the Fekete-Szego inequality of this new family are discussed.

引用

页码：4619 / 4625

页数：7

共 20 条

[1] Some Applications of Mittag-Leffler Function in the Unit Disk [J].

Attiya, Adel A. .

FILOMAT, 2016, 30 (07) :2075-2081

[2] Certain geometric properties of the Mittag-Leffler functions [J].

Bansal, D. ;

Prajapat, J. K. .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (03) :338-350

[3] A Mittag-Leffler-type function of two variables [J].

Garg, Mridula ;

Manohar, Pratibha ;

Kalla, S. L. .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2013, 24 (11) :934-944

[4] Criteria for univalence of the Dziok-Srivastava and the Srivastava-Wright operators in the class A [J].

Kiryakova, V. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) :883-892

[5] Notes on Jung-Kim-Srivastava integral operator [J].

Liu, JL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) :96-103

[6]

Ma W., 1992, P C COMPL AN, P157

[7]

MILLER SS, 1981, MICH MATH J, V28, P157

[8]

Mittag-Leffler G, 1903, CR HEBD ACAD SCI, V137, P554

[9]

Ruscheweyh S., 1982, CONVOLUTIONS GEOMETR

[10]

Srivastava HM, 2017, J NONLINEAR VAR ANAL, V1, P61

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