Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function

被引:3
作者
Gangadharan, Murugusundaramoorthy [1 ]
Kaliyappan, Vijaya [1 ]
Ahmad, Hijaz [2 ,3 ]
Mahmoud, K. H. [4 ]
Khalil, E. M. [5 ]
机构
[1] Deemed Univ, Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
[2] Univ Engn & Technol Peshawar, Dept Basic Sci, Peshawar, Pakistan
[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
[4] Taif Univ, Coll Khurma Univ Coll, Dept Phys, POB 11099, At Taif 21944, Saudi Arabia
[5] Taif Univ, Coll Sci, Dept Math, POB 11099, At Taif 21944, Saudi Arabia
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 12期
关键词
analytic functions; univalent functions; harmonic functions; Mittag-Leffler function; HYPERGEOMETRIC-FUNCTIONS; STARLIKE; SUBCLASSES;
D O I
10.3934/math.2021765
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function. To be more precise, we confer such influences with Janowski-type harmonic univalent functions in the open unit disc D.
引用
收藏
页码:13235 / 13246
页数:12
相关论文
共 29 条
[1]  
Ahuja O. P., 2002, Sci. Math. Jpn., V6, P253
[2]  
Ahuja O.P., 2005, J. Ineq. Pure Appl. Math., V6, P122
[3]   Planar harmonic convolution operators generated by hypergeometric functions [J].
Ahuja, Om P. .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (03) :165-177
[4]   Some Applications of Mittag-Leffler Function in the Unit Disk [J].
Attiya, Adel A. .
FILOMAT, 2016, 30 (07) :2075-2081
[5]   Certain geometric properties of the Mittag-Leffler functions [J].
Bansal, D. ;
Prajapat, J. K. .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (03) :338-350
[6]   UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING PASCAL DISTRIBUTION SERIES [J].
Bulboaca, Teodor ;
Murugusundaramoorthy, Gangadharan .
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (03) :867-877
[7]  
Cho N. E., 2002, Fract. Calc. Appl. Anal., V5, P303
[8]  
CLUNIE J, 1984, ANN ACAD SCI FENN-M, V9, P3
[9]  
Duren P., 2004, HARMONIC MAPPINGS PL
[10]   Classes of harmonic functions associated with Ruscheweyh derivatives [J].
Dziok, Jacek .
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) :1315-1329