Generalized Complex Fractional Derivative and Integral operators for the Unified Class of Analytic Functions

被引：0
|
作者：
Issa, Ammar S. [1 ]
Darus, Maslina [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Dept Math Sci, Bangi 43600, Selangor, Malaysia
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2020年 / 15卷 / 03期
关键词：
Uniform starlike; Uniform convex; Fractional integral operator; Fractional differential operator; UNIVALENT;
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 generalization of the Linear fractional differential and integral operator given by Srivastava and Owa [8]. In addition, we study some geometric properties of this new operator for the unified class U [Phi, Psi; alpha, beta, lambda, n], which was defined by Darus [2] like growth, distortion and the radii of starlikeness.
引用
收藏
页码：857 / 868
页数：12
相关论文
共 50 条
  • [1] Geometric properties of certain analytic functions associated with generalized fractional integral operators
    Yong Chan Kim
    Jae Ho Choi
    Journal of Inequalities and Applications, 2014
  • [2] Geometric properties of certain analytic functions associated with generalized fractional integral operators
    Kim, Yong Chan
    Choi, Jae Ho
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [3] A class of integral operators on spaces of analytic functions
    Ballamoole, S.
    Miller, T. L.
    Miller, V. G.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 414 (01) : 188 - 210
  • [4] On Generalized Strongly Convex Functions and Unified Integral Operators
    Yu, Timing
    Farid, Ghulam
    Mahreen, Kahkashan
    Jung, Chahn Yong
    Shim, Soo Hak
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [5] On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions
    Baleanu, Dumitru
    Agarwal, Praveen
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] Some New Inequalities Involving Generalized Fractional Integral Operators for Several Class of Functions
    Set, Erhan
    Gozpinar, Abdurrahman
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES (ICANAS 2017), 2017, 1833
  • [7] On unified fractional integral operators
    Gupta, KC
    Soni, R
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1996, 106 (01): : 53 - 64
  • [8] Inequalities for unified integral operators of generalized refined convex functions
    Zahra, Moquddsa
    Ashraf, Muhammad
    Farid, Ghulam
    Nonlaopon, Kamsing
    AIMS MATHEMATICS, 2022, 7 (04): : 6218 - 6233
  • [9] Some applications of generalized fractional calculus operators to a novel class of analytic functions with negative coefficients
    Irmak, H
    Raina, RK
    TAIWANESE JOURNAL OF MATHEMATICS, 2004, 8 (03): : 443 - 452
  • [10] CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONS
    Purohit, Sunil Dutt
    Selvakumaran, Kuppathai Appasamy
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) : 1805 - 1818
12345