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
收藏
页码:271 / 292
页数:22
相关论文
共 50 条
  • [41] Inclusion results for certain subclasses of p-valent meromorphic functions associated with a new operator
    Mostafa, A. O.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, : 1 - 11
  • [42] Inclusion results for certain subclasses of p-valent meromorphic functions associated with a new operator
    AO Mostafa
    Journal of Inequalities and Applications, 2012
  • [43] Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator
    Mahmood, Shahid
    Raza, Nusrat
    AbuJarad, Eman S. A.
    Srivastava, Gautam
    Srivastava, H. M.
    Malik, Sarfraz Nawaz
    SYMMETRY-BASEL, 2019, 11 (05):
  • [44] Majorization for Certain Classes of Analytic Functions Defined by a Generalized Operator
    Selvaraj, C.
    Selvakumaran, K. A.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, 3 (06): : 1048 - 1054
  • [45] Multivalent functions associated with Srivastava-Saigo-Owa fractional differintegral operator
    Mostafa, Adela O.
    Aouf, Mohamed K.
    Zayed, Hanaa M.
    Bulboaca, Teodor
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1409 - 1429
  • [46] On certain classes of analytic functions defined by Noor integral operator
    Noor, KI
    Noor, MA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (01) : 244 - 252
  • [47] RELATIONSHIP OF THE BERNARDI INTEGRAL OPERATOR WITH CERTAIN CLASSES OF ANALYTIC FUNCTIONS
    Arif, Muhammad
    Raza, Mohsan
    Ul Haq, Miraj
    Srivastava, Gautam
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 575 - 592
  • [48] Inclusion properties for certain subclasses of analytic functions associated with the Dziok-Srivastava operator
    Kwon, Oh Sang
    Cho, Nak Eun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007,
  • [49] Inclusion Properties for Certain Subclasses of Analytic Functions Associated with the Dziok-Srivastava Operator
    Oh Sang Kwon
    Nak Eun Cho
    Journal of Inequalities and Applications, 2007
  • [50] INCLUSION PROPERTIES FOR CERTAIN K-UNIFORMLY SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH CERTAIN INTEGRAL OPERATOR
    Aouf, M. K.
    Seoudy, T. M.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (04): : 155 - 162