Study of Multivalent Spirallike Bazilevic Functions

被引:2
|
作者
Khan, Nazar [1 ]
Khan, Ajmal [1 ]
Ahmad, Qazi Zahoor [1 ]
Khan, Bilal [1 ]
Khan, Shahid [2 ]
机构
[1] Abbottabad Univ Sci & Technol, Dept Math, Abbottabad, Pakistan
[2] Riphah Int Univ Islamabad, Dept Math, Islamabad, Pakistan
来源
AIMS MATHEMATICS | 2018年 / 3卷 / 03期
关键词
spirallike function; Bazilevic functions; multivalent function; necessary and sufficient conditions; ANALYTIC-FUNCTIONS; COEFFICIENT INEQUALITIES; CONVOLUTION PROPERTIES; CONIC DOMAINS; SUBCLASSES; STARLIKE; BOUNDS; ORDER; ALPHA;
D O I
10.3934/Math.2018.3.353
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce certain new subclasses of multivalent spirallike Bazilevic functions by using the concept of k-uniformly starlikness and k-uniformly convexity. We prove inclusion relations, sufficient condition and Fekete-Szego inequality for these classes of functions. Convolution properties for these classes are also discussed.
引用
收藏
页码:353 / 364
页数:12
相关论文
共 50 条
  • [31] Length problems for Bazilevic functions
    Nunokawa, Mamoru
    Sokol, Janusz
    Tang, Huo
    DEMONSTRATIO MATHEMATICA, 2019, 52 (01) : 56 - 60
  • [32] Region of variablity for Bazilevic functions
    Bukhari, Syed Zakar Hussain
    Wanas, Abbas Kareem
    Abdalla, Mohamed
    Zafar, Sidra
    AIMS MATHEMATICS, 2023, 8 (11): : 25511 - 25527
  • [33] n-Bazilevic Functions
    Al-Oboudi, F. M.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [34] On the logarithmic coefficients of Bazilevic functions
    Deng, Qin
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5889 - 5894
  • [35] The Coefficients of Powers of Bazilevic Functions
    Cho, Nak Eun
    Kumar, Virendra
    Park, Ji Hyang
    MATHEMATICS, 2018, 6 (11):
  • [36] THE DERIVATIVE OF BAZILEVIC-FUNCTIONS
    LONDON, RR
    THOMAS, DK
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 104 (01) : 235 - 238
  • [37] ON HIGHER ORDER BAZILEVIC FUNCTIONS
    Noor, Khalida Inayat
    Ahmad, Khalil
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2013, 27 (04):
  • [38] ON A SUBCLASS OF BAZILEVIC-FUNCTIONS
    ELHOSH, MM
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1989, 39 (02) : 167 - 170
  • [39] The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex alpha-spirallike Functions
    Orouji, Zahra
    Aghalary, Rasul
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2018, 12 (01): : 89 - 96
  • [40] Correspondence between spirallike functions and starlike functions
    Kim, Yong Chan
    Sugawa, Toshiyuki
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (2-3) : 322 - 331