Coefficient inequalities and inclusion relations for some families of analytic and multivalent functions

被引：15
|
作者：
Srivastava, H. M. [1 ]
Orhan, Halit
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] Ataturk Univ, Fac Sci & Art, Dept Math, TR-25240 Erzurum, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 06期
基金：
加拿大自然科学与工程研究理事会;
关键词：
analytic functions; p-valent functions; coefficient inequalities; inclusion relations; neighborhood properties (n; delta)-neighborhood;
D O I：
10.1016/j.aml.2006.07.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of the derivative operator of order m (m is an element of N-0), we introduce and investigate two new subclasses of p-valently analytic functions of complex order. The various results obtained here for each of these two function classes include coefficient inequalities and inclusion relationships involving the (n, delta)-neighborhood of p-valently analytic functions. Relevant connections with some other recent investigations are also pointed out. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：686 / 691
页数：6
相关论文
共 50 条
  • [1] CERTAIN COEFFICIENT INEQUALITIES FOR SOME SUBCLASSES OF ANALYTIC FUNCTIONS
    Rosy, Thomas
    Kavitha, S.
    Murugusundaramoorthy, G.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2009, 38 (03): : 233 - 242
  • [2] ON CERTAIN COEFFICIENT INEQUALITIES FOR MULTIVALENT FUNCTIONS
    Shanmugam, T. N.
    Owa, Shigeyoshi
    Ramachandran, C.
    Sivasubramanian, S.
    Nakamura, Yayoi
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (01): : 31 - 41
  • [3] (α, β, λ, δ, m, Ω)p-Neighborhood for some families of analytic and multivalent functions
    Orhan, Halit
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2015, 23 (01): : 225 - 236
  • [4] Some families of multivalent functions
    Aouf, MK
    Hossen, HM
    Srivastava, HM
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (7-8) : 39 - 48
  • [5] COEFFICIENT INEQUALITIES AND YAMASHITA'S CONJECTURE FOR SOME CLASSES OF ANALYTIC FUNCTIONS
    Ali, Md Firoz
    Vasudevarao, A.
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 100 (01) : 1 - 20
  • [6] Certain Inequalities of Multivalent Analytic Functions with Missing Coefficients
    Cang, Yi-Ling
    Yan, Cai-Mei
    JOURNAL OF COMPLEX ANALYSIS, 2013,
  • [7] A note on some relations between certain inequalities and normalized analytic functions
    San, Mufit
    Irmak, Huseyin
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2018, 10 (02) : 368 - 374
  • [8] Some relations between certain inequalities concerning analytic and univalent functions
    Irmak, Hueseyin
    San, Muefit
    APPLIED MATHEMATICS LETTERS, 2010, 23 (08) : 897 - 901
  • [9] Coefficient Inequalities of Analytic Functions Related to Robertson Functions
    Arif, Muhammad
    Ali, Mumtaz
    JOURNAL OF MATHEMATICS, 2013, 2013
  • [10] Some inequalities involving meromorphically multivalent functions
    Owa, S
    Kwon, OS
    Cho, NE
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (02) : 375 - 380
12345