Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions

被引:5
作者
Breaz, Daniel [1 ]
Cotirla, Luminita-Ioana [2 ]
Umadevi, Elangho [3 ]
Karthikeyan, Kadhavoor R. [4 ]
机构
[1] 1 Decembrie 1918 Univ Alba Iulia, Dept Math, Alba Iulia 510009, Romania
[2] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca, Romania
[3] Zayed Univ, Coll Nat & Hlth Sci, Dept Math & Stat, Abu Dhabi, U Arab Emirates
[4] Natl Univ Sci & Technol, Dept Appl Math & Sci, POB 620, Muscat, Oman
关键词
Q-STARLIKE FUNCTIONS; COEFFICIENT INEQUALITIES; SUBCLASSES; FAMILIES;
D O I
10.1155/2022/3444854
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral-like functions with other studies pertaining to subclasses of multivalent meromorphic functions. Inclusion relations, integral representation, geometrical interpretation, coefficient estimates and solution to the Fekete-Szego problem of the defined classes are the highlights of this present study. Further to keep up with the present direction of research, we extend the study using quantum calculus. Applications of our main results are given as corollaries.
引用
收藏
页数:10
相关论文
共 40 条
[11]   Classes of Multivalent Spirallike Functions Associated with Symmetric Regions [J].
Cotirla, Luminita-Ioana ;
Karthikeyan, Kadhavoor R. .
SYMMETRY-BASEL, 2022, 14 (08)
[12]  
Jackson FH., 1910, Quart. J. Pure Appl. Math, V41, P193, DOI DOI 10.1017/S0080456800002751
[13]  
Janowski W., 1973, Annales Polonici Mathematici, V28, P297
[14]   Unified solution of initial coefficients and Fekete-Szego problem for subclasses of analytic functions related to a conic region [J].
Karthikeyan, K. R. ;
Murugusundaramoorthy, G. .
AFRIKA MATEMATIKA, 2022, 33 (02)
[15]   Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives [J].
Karthikeyan, Kadhavoor R. ;
Lakshmi, Sakkarai ;
Varadharajan, Seetharam ;
Mohankumar, Dharmaraj ;
Umadevi, Elangho .
FRACTAL AND FRACTIONAL, 2022, 6 (02)
[16]   Properties of λ-Pseudo-Starlike Functions of Complex Order Defined by Subordination [J].
Karthikeyan, Kadhavoor R. ;
Murugusundaramoorthy, Gangadharan ;
Bulboaca, Teodor .
AXIOMS, 2021, 10 (02)
[17]   Coefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf-Like Domain [J].
Khan, Bilal ;
Srivastava, Hari M. ;
Khan, Nazar ;
Darus, Maslina ;
Tahir, Muhammad ;
Ahmad, Qazi Zahoor .
MATHEMATICS, 2020, 8 (08)
[18]  
Liu JL, 2004, MATH COMPUT MODEL, V39, P21, DOI [10.1016/S0895-7177(04)90503-1, 10.1016/S0895-7177(03)00391-1]
[19]   A linear operator and associated families of meromorphically multivalent functions [J].
Liu, JL ;
Srivastava, HM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (02) :566-581
[20]  
MA WC, 1994, C PR LECT NOTE APPL, V1, P157