Applications of multivalent prestarlike functions

被引:4
|
作者
Dziok, Jacek [1 ]
机构
[1] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland
关键词
Analytic functions; Multivalent prestarlike function; Linear operator; Hadamard product; Subordination; INCLUSION PROPERTIES; SUBCLASSES; CONVOLUTION; STARLIKE; FAMILY;
D O I
10.1016/j.amc.2013.06.054
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper we introduce general classes of multivalent analytic functions defined by the subordination. In particular, we define the class of multivalent prestarlike functions. By using the Ruscheweyh's duality theory we investigate convolution properties related to multivalent prestarlike functions and various inclusion relationships between defined classes of functions. Some applications involving well-known classes of functions defined by linear operators are also considered. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:230 / 238
页数:9
相关论文
共 50 条
  • [1] Multivalent Prestarlike Functions with Respect to Symmetric Points
    Breaz, Daniel
    Karthikeyan, Kadhavoor R.
    Senguttuvan, Alagiriswamy
    [J]. SYMMETRY-BASEL, 2022, 14 (01):
  • [2] A Certain Class of Multivalent Prestarlike Functions Defined by Dziok-Srivastava Linear Operator
    Shenan, Jamal M.
    Abuteim, Abdulshakor S.
    [J]. MATEMATIKA, 2010, 26 (02) : 115 - 126
  • [3] PROPERTIES OF THE CONVOLUTION WITH PRESTARLIKE FUNCTIONS
    Dziok, Jacek
    [J]. ACTA MATHEMATICA SCIENTIA, 2013, 33 (06) : 1685 - 1694
  • [4] Applications of Laguerre Polynomials on a New Family of Bi-Prestarlike Functions
    Wanas, Abbas Kareem
    Lupas, Alina Alb
    [J]. SYMMETRY-BASEL, 2022, 14 (04):
  • [5] APPLICATIONS OF HORADAM POLYNOMIALS ON A NEW FAMILY OF BI-PRESTARLIKE FUNCTIONS
    Wanas, Abbas Kareem
    Orsolya, Pall-szabo Agnes
    [J]. MISKOLC MATHEMATICAL NOTES, 2023, 24 (03) : 1605 - 1613
  • [6] Certain Class of Prestarlike Functions
    G.AshokKumar
    G.L.Reddy
    [J]. Journal of Mathematical Research with Applications, 1992, (03) : 407 - 412
  • [7] A note on universally prestarlike functions
    Shanmugam, Tirunelveli Nellaiappan
    Mary, Joseph Lourthu
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2012, 57 (01): : 53 - 60
  • [8] PROPERTIES OF THE CONVOLUTION WITH PRESTARLIKE FUNCTIONS
    Jacek DZIOK
    [J]. Acta Mathematica Scientia, 2013, 33 (06) : 1685 - 1694
  • [9] ON SUBCLASSES OF PRESTARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
    Joshi, Santosh B.
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2009, 54 (02): : 65 - 74
  • [10] Universally prestarlike functions as convolution multipliers
    Ruscheweyh, Stephan
    Salinas, Luis
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2009, 263 (03) : 607 - 617