Certain Results on Fuzzy p-Valent Functions Involving the Linear Operator

被引:4
作者
Ali, Ekram Elsayed [1 ,2 ]
Vivas-Cortez, Miguel [3 ]
Ali Shah, Shujaat [4 ]
Albalahi, Abeer M. [1 ]
机构
[1] Univ Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia
[2] Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said 42521, Egypt
[3] Pontificia Univ Catol Ecuador, Escuela Ciencias Fis & Matemat, Fac Ciencias Exactas & Nat, Ave 12 Octubre 1076, Quito 17012184, Ecuador
[4] Quaid E Awam Univ Engn Sci & Technol, Dept Math & Stat, Nawabshah 67450, Pakistan
关键词
analytic functions; p-valent functions; fuzzy differential subordination; generalized Srivastava-Attiya operator; DIFFERENTIAL SUBORDINATIONS; FAMILIES; CONVEX;
D O I
10.3390/math11183968
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The idea of fuzzy differential subordination is a generalisation of the traditional idea of differential subordination that evolved in recent years as a result of incorporating the idea of fuzzy set into the field of geometric function theory. In this investigation, we define some general classes of p-valent analytic functions defined by the fuzzy subordination and generalizes the various classical results of the multivalent functions. Our main focus is to define fuzzy multivalent functions and discuss some interesting inclusion results and various other useful properties of some subclasses of fuzzy p-valent functions, which are defined here by means of a certain generalized Srivastava-Attiya operator. Additionally, links between the significant findings of this study and preceding ones are also pointed out.
引用
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页数:10
相关论文
共 39 条
[1]  
Alb Lupa A., 2018, J. Comput. Anal. Appl, V25, P1116
[2]   Functions which map the interior of the unit circle upon simple regions. [J].
Alexander, JW .
ANNALS OF MATHEMATICS, 1915, 17 :12-22
[3]   Certain Inclusion Properties for the Class of q-Analogue of Fuzzy α-Convex Functions [J].
Azzam, Abdel Fatah ;
Ali Shah, Shujaat ;
Alburaikan, Alhanouf ;
El-Deeb, Sheza M. .
SYMMETRY-BASEL, 2023, 15 (02)
[4]   On Fuzzy Spiral-like Functions Associated with the Family of Linear Operators [J].
Azzam, Abdel Fatah ;
Shah, Shujaat Ali ;
Catas, Adriana ;
Cotirla, Luminita-Ioana .
FRACTAL AND FRACTIONAL, 2023, 7 (02)
[5]   CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].
BERNARDI, SD .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&
[6]   Certain families of series associated with the Hurwitz-Lerch Zeta function [J].
Choi, JS ;
Srivastava, HM .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 170 (01) :399-409
[7]   Fuzzy Logic Is Not Fuzzy: World-renowned Computer Scientist Lotfi A. Zadeh [J].
Dzitac, I. ;
Filip, F. G. ;
Manolescu, M. J. .
INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, 2017, 12 (06) :748-789
[8]  
E A.H., 2015, Math. Moravica, V19, P123
[9]  
El-Deeb S.M., 2020, U ORADEA FASC MAT, VXXVII, P133
[10]   Fuzzy Differential Subordination for Meromorphic Function [J].
El-Deeb, Sheza ;
Khan, Neelam ;
Arif, Muhammad ;
Alburaikan, Alhanouf .
AXIOMS, 2022, 11 (10)