Neighborhoods of certain p-valent analytic functions with complex order

被引：6
作者：
Mostafa, A. O. [1 ]
Aouf, M. K. [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 06期
关键词：
Convolution; p-valent functions; N(n; delta)-neighborhood; Cauchy-Euler differential equation;
D O I：
10.1016/j.camwa.2008.10.101
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors prove several coefficient bounds, distortion inequalities of the class S-g(n)(p, lambda, b, beta) of p-valent analytic functions of complex order. By making use of the familiar concept of neighborhoods of p-valent analytic functions, they obtained several inclusion relations associated with the N-p(n, delta)-neighborhood of this class and its certain derivatives, which is defined by means of a certain non-homogeneous Cauchy-Euler differential equations. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1183 / 1189
页数：7
相关论文
共 50 条
  • [31] Certain Results on Fuzzy p-Valent Functions Involving the Linear Operator
    Ali, Ekram Elsayed
    Vivas-Cortez, Miguel
    Ali Shah, Shujaat
    Albalahi, Abeer M.
    MATHEMATICS, 2023, 11 (18)
  • [32] On Certain Subclasses of Meromorphically p-Valent Functions Associated with Integral Operators
    Aouf, M. K.
    Shamandy, A.
    Mostafa, A. O.
    El-Emam, F. Z.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, 4 (04): : 435 - 447
  • [33] SUFFICIENT CONDITIONS FOR p-VALENT FUNCTIONS
    Khan, Qaiser
    Dziok, Jacek
    Raza, Mohsan
    Arif, Muhammad
    MATHEMATICA SLOVACA, 2021, 71 (05) : 1089 - 1102
  • [34] Certain subclasses of p-valent functions involving the Dziok-Srivastava operator
    Mostafa, A. O.
    Aouf, M. K.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) : 23 - 32
  • [35] Argument Estimates of Certain Meromorphically p-Valent Functions Defined by a Linear Operator
    Mostafa, A. O.
    Aouf, M. K.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, 6 (04): : 387 - 399
  • [36] SUBORDINATION PROPERTIES OF CERTAIN SUBCLASSES OF p-VALENT FUNCTIONS DEFINED BY AN INTEGRAL OPERATOR
    Seoudy, T. M.
    MATEMATICHE, 2016, 71 (02): : 27 - 44
  • [37] INEQUALITIES FOR MEROMORPHICALLY P-VALENT FUNCTIONS
    Ebadian, A.
    Najafzadeh, Sh.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2009, 33 (A2): : 139 - 143
  • [38] Coefficient Inequalities for p-Valent Functions
    T.Panigrahi
    R.N.Mohapatra
    Analysis in Theory and Applications, 2018, 34 (02) : 112 - 126
  • [39] Certain subclasses of p-valent starlike functions defined by using a differential operator
    Aouf, M. K.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (02) : 867 - 875
  • [40] Some convolution properties of a subclass of p-valent functions
    Noor, Khalida Inayat
    Khan, Nazar
    MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2015, 9 (02) : 181 - 192
12345