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

[11] Generalized convolution properties based on the modified Mittag-Leffler function [J].

Srivastava, H. M. ;

Kilicman, Adem ;

Abdulnaby, Zainab E. ;

Ibrahim, Rabha W. .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08) :4284-4294

[12]

Srivastava HM, 2017, TWMS J PURE APPL MAT, V8, P112

[13] Remarks on some families of fractional-order differential equations [J].

Srivastava, H. M. .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2017, 28 (07) :560-564

[14]

Srivastava HM, 2016, TWMS J PURE APPL MAT, V7, P123

[15]

Srivastava HM, 2007, APPL ANAL DISCR MATH, V1, P56

[16] Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel [J].

Srivastava, H. M. ;

Tomovski, Zivorad .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) :198-210

[17]

Srivastava H. M., 2017, Appl. Math. Inf. Sci., V11, P635, DOI DOI 10.18576/amis/110301

[18]

Srivastava H. M., 1968, Yokohama Math. J, V16, P77

[19] Laplace type integral expressions for a certain three-parameter family of generalized Mittag-Leffler functions with applications involving complete monotonicity [J].

Tomovski, Zivorad ;

Pogany, Tibor K. ;

Srivastava, H. M. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (12) :5437-5454

[20] Fractional and operational calculus with generalized fractional derivative operators and Mittag-Leffler type functions [J].

Tomovski, Zivorad ;

Hilfer, Rudolf ;

Srivastava, H. M. .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (11) :797-814

← 1 2 →