Subordination results for analytic functions associated with fractionalq-calculus operators with complex order

被引：8
作者：
Aouf, M. K. [1 ]
Mostafa, A. O. [1 ]
机构：
[1] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
来源：
AFRIKA MATEMATIKA | 2020年 / 31卷 / 7-8期
关键词：
q-Fractional calculus operators; Analytic functions; Complex order; Factor sequence; Q-CONVEX FUNCTIONS; MULTIVALENT-FUNCTIONS; DERIVATIVE OPERATOR; Q-STARLIKE; NEIGHBORHOODS; SUBCLASSES;
D O I：
10.1007/s13370-020-00803-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using a q-fractional calculus operators, we define the classes S-alpha(lambda, beta, b, q) and Ga(lambda, beta, b, q) of analytic functions with complex order and investigate some subordination results for these classes.
引用
收藏
页码：1387 / 1396
页数：10
相关论文
共 34 条
  • [1] Abelman S, 2017, FACTA UNIV-SER MATH, V32, P255, DOI 10.22190/FUMI1702255A
  • [2] Abu Risha MH, 2007, Z ANAL ANWEND, V26, P481
  • [3] Al-Hawary T., 2018, SSRN ELECT J
  • [4] Neighborhoods of a class of analytic functions with negative coefficients
    Altintas, O
    Özkan, Ö
    Srivastava, HM
    [J]. APPLIED MATHEMATICS LETTERS, 2000, 13 (03) : 63 - 67
  • [5] q-Fractional Calculus and Equations Preface
    Ismail, Mourad
    [J]. Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : IX - +
  • [6] [Anonymous], 1989, UNIVALENT FUNCTIONS
  • [7] Subordination results for certain class of analytic functions defined by convolution
    Aouf M.K.
    Shamandy A.
    Mostafa A.O.
    Adwan E.A.
    [J]. Rendiconti del Circolo Matematico di Palermo, 2011, 60 (1-2) : 255 - 262
  • [8] Subordination Theorem of Analytic Functions Defined by Convolution
    Aouf, M. K.
    Shamandy, A.
    Mostafa, A. O.
    Adwan, E. A.
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (04) : 1117 - 1126
  • [9] DISTORTION AND CONVOLUTIONAL THEOREMS FOR OPERATORS OF GENERALIZED FRACTIONAL CALCULUS INVOLVING WRIGHT FUNCTION
    Aouf, M. K.
    Dziok, J.
    [J]. JOURNAL OF APPLIED ANALYSIS, 2008, 14 (02) : 183 - 192
  • [10] Subordination properties for a certain class of analytic functions defined by the Salagean operator
    Aouf, M. K.
    [J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (10) : 1581 - 1585
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