Starlike Functions Based on Ruscheweyh q-Differential Operator defined in Janowski Domain

被引:12
作者
Cotirla, Luminita-Ioana [1 ]
Murugusundaramoorthy, Gangadharan [2 ]
机构
[1] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania
[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
关键词
starlike functions; convex functions; subordination; Fekete-Szego inequality; Hadamard product; analytic functions; COEFFICIENT INEQUALITY; PARTIAL-SUMS;
D O I
10.3390/fractalfract7020148
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we make use of the concept of q-calculus in the theory of univalent functions, to obtain the bounds for certain coefficient functional problems of Janowski type starlike functions and to find the Fekete-Szego functional. A similar results have been done for the function (sic)(-1). Further, for functions in newly defined class we determine coefficient estimates, distortion bounds, radius problems, results related to partial sums.
引用
收藏
页数:16
相关论文
共 30 条
[1]   Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions [J].
Ahmad, Bakhtiar ;
Khan, Muhammad Ghaffar ;
Aouf, Mohamed Kamal ;
Mashwani, Wali Khan ;
Salleh, Zabidin ;
Tang, Huo .
JOURNAL OF FUNCTION SPACES, 2021, 2021
[2]  
[Anonymous], 1983, UNIVALENT FUNCTIONS
[3]  
Araci S, 2016, J INEQUAL APPL, DOI 10.1186/s13660-016-1240-8
[4]  
Aral A., 2013, Applications of q-Calculus in Operator Theory
[5]  
Jackson FH., 1909, Trans R Soc Edinburgh, V46, P253, DOI [10.1017/s0080456800002751, DOI 10.1017/S0080456800002751, 10.1017/S0080456800002751]
[6]  
Janowski W., 1971, Ann. Polon. Math, V23, P159, DOI [10.4064/ap-23-2-159-177, DOI 10.4064/AP-23-2-159-177]
[7]   Some class of analytic functions related to conic domains [J].
Kanas, Stanislawa ;
Raducanu, Dorina .
MATHEMATICA SLOVACA, 2014, 64 (05) :1183-1196
[8]   A COEFFICIENT INEQUALITY FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS [J].
KEOGH, FR ;
MERKES, EP .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (01) :8-&
[9]   A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions [J].
Khan, Bilal ;
Srivastava, H. M. ;
Arjika, Sama ;
Khan, Shahid ;
Khan, Nazar ;
Ahmad, Qazi Zahoor .
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[10]   MEROMORPHIC STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS [J].
Khan, Muhammad Ghaffar ;
Darus, Maslina ;
Ahmad, Bakhtiar ;
Murugusundaramoorthy, Gangadharan ;
Khan, Raees ;
Khan, Nasir .
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (06) :1037-1047