Sandwich results of p-valent functions defined by a generalized fractional derivative operator with application to vortex motion

被引:8
作者
Zayed, H. M. [1 ]
Mohammadein, S. A. [2 ]
Aouf, M. K. [3 ]
机构
[1] Menoufia Univ, Fac Sci, Dept Math, Shibin Al Kawm 32511, Egypt
[2] Tanta Univ, Dept Math, Fac Sci, Tanta, Egypt
[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
关键词
Analytic; p-valent functions; Generalized fractional derivative operator; Differential subordination and superordination; Sandwich; Vortex motion; MULTIVALENT-FUNCTIONS;
D O I
10.1007/s13398-018-0559-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For p-valent functions associated with new operator, we study different properties of the differential subordination and superordination related to defined linear operator. Also, we obtain sandwich results for p-valent functions connected to this operator. Furthermore, an application to vortex motion are considered.
引用
收藏
页码:1499 / 1514
页数:16
相关论文
共 30 条
[1]  
Al-Oboudi FM., 2004, Int. J. Math. Sci, V27, P1429, DOI DOI 10.1155/S0161171204108090
[2]  
AMSHERI SM, 1998, MATH J, V35, P387
[3]  
[Anonymous], 2005, FAR E J MATH SCI
[4]   ON SOME RESULTS FOR lambda-SPIRALLIKE AND lambda-ROBERTSON FUNCTIONS OF COMPLEX ORDER [J].
Aouf, M. ;
Al-Oboudi, F. ;
Haidan, M. .
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2005, 77 (91) :93-98
[5]   On a subclass of n-p-valent prestarlike functions [J].
Aouf, M. K. ;
Mostafa, A. O. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (04) :851-861
[6]   On certain subclasses of multivalent functions defined by a generalized fractional differintegral operator [J].
Aouf M.K. ;
Mostafa A.O. ;
Zayed H.M. .
Afrika Matematika, 2017, 28 (1-2) :99-107
[7]   Subordination and superordination properties of p-valent functions defined by a generalized fractional differintegral operator [J].
Aouf, M. K. ;
Mostafa, A. O. ;
Zayed, H. M. .
QUAESTIONES MATHEMATICAE, 2016, 39 (04) :545-560
[8]   Some Characterizations of Integral Operators Associated with Certain Classes of p-Valent Functions Defined by the Srivastava-Saigo-Owa Fractional Differintegral Operator [J].
Aouf, M. K. ;
Mostafa, A. O. ;
Zayed, H. M. .
COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (06) :1267-1275
[9]   Subordination and superordination properties of multivalent functions defined by certain integral operator [J].
Aouf, M. K. ;
Bulboaca, T. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (03) :641-653
[10]  
Aouf M. K., 2007, DEMONSTR MATH, V40, P799