DIFFERENTIAL SUBORDINATION AND SUPERORDINATION FOR A NEW DIFFERENTIAL OPERATOR CONTAINING MITTAG-LEFFLER FUNCTION

被引：1

作者：

Elhaddad, Suhila ^{[1
]}

Darus, Maslina ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Ctr Modelling & Data Sci, Bangi 43600, Selangor, Malaysia

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 05期

关键词：

Analytic functions; starlike functions; linear operator; superordination; subordination; Mittag-Leffler function;

D O I：

10.46793/KgJMat2105.699E

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator (H) over tilde (m)(delta,p)(alpha, beta, a(1), b(1))f(z) is newly introduced in this study. The main objective of this paper is to investigate various subordination and superordination related to the aforementioned generalised linear derivative operator. Additionally, the resultant sandwich-type of this operator is also considered.

引用

页码：699 / 708

页数：10

共 50 条

[31] SOME SUBORDINATION AND SUPERORDINATION RESULTS ASSOCIATED WITH A NEW OPERATOR
Aouf, M. K.
Mostafa, A. O.
Shamandy, A.
Adwan, E. A.
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 5 (02): : 210 - 220
[32] Matrix Mittag-Leffler function and solution of multi-term fractional differential equations
Duan, Junsheng
Chen, Lian
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2020, 10 (05) : 401 - 414
[33] MAXIMUM PRINCIPLES AND APPLICATIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH OPERATORS INVOLVING MITTAG-LEFFLER FUNCTION
Al-Refai, Mohammed
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021, 24 (04) : 1220 - 1230
[34] Maximum Principles and Applications for Fractional Differential Equations with Operators Involving Mittag-Leffler Function
Mohammed Al-Refai
Fractional Calculus and Applied Analysis, 2021, 24 : 1220 - 1230
[35] MITTAG-LEFFLER FUNCTION FOR REAL INDEX AND ITS APPLICATION IN SOLVING DIFFERENCE AND DIFFERENTIAL EQUATIONS
Simon, Jaraldpushparaj
Xavier, Gnanaprakasam Britto Antony
Etemad, Sina
Rezapour, Shahram
MISKOLC MATHEMATICAL NOTES, 2023, 24 (03) : 1541 - 1554
[36] A LINEAR OPERATOR ASSOCIATED WITH THE MITTAG-LEFFLER FUNCTION AND RELATED CONFORMAL MAPPINGS
Liu, Jinlin
Srivastava, Rekha
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (06): : 1886 - 1892
[37] BOUNDS OF FRACTIONAL INTEGRAL OPERATORS CONTAINING MITTAG-LEFFLER FUNCTION
Farid, Ghulam
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (04): : 133 - 142
[38] Strong Differential Subordination and Superordination of Analytic Functions Associated with Komatu operator
Jeyaraman, M. P.
Suresh, T. K.
Reddy, E. Keshava
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2013, 4 (02): : 26 - 44
[39] Strong Differential Subordination and Superordination for Analytic Functions Involving Certain Operator
Jeyaraman, M. P.
Suresh, T. K.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (04) : 511 - 527
[40] Laplace transform and the Mittag-Leffler function
Teodoro, G. Sales
de Oliveira, E. Capelas
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2014, 45 (04) : 595 - 604

← 1 2 3 4 5 →