Inclusion results for certain classes of analytic functions associated with a new fractional differintegral operator

被引:4
|
作者
Srivastava, H. M. [1 ,2 ]
Sharma, Poonam [3 ]
Raina, R. K. [4 ,5 ]
机构
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[3] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India
[4] MP Univ Agr & Technol, Udaipur 313001, Rajasthan, India
[5] 10-11 Ganpati Vihar,Opposite Sect 5, Udaipur 313002, Rajasthan, India
关键词
Analytic functions; Starlike functions; Strongly starlike functions; Differential subordination; Fractional differintegral operator; UNIVALENT; SUBCLASSES; STARLIKE; CONVEX;
D O I
10.1007/s13398-017-0377-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using a new fractional differintegral operator which was studied in a recent work (Mediterr J Math 13:1535-1553 2016), we first introduce various classes of analytic functions in terms of the subordination and then prove several inclusion results for each of these classes of analytic functions. We also consider some useful special cases and consequences of the results which are presented in this paper.
引用
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页码:271 / 292
页数:22
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