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
  • [21] GENERALIZED BAZILEVIC FUNCTIONS
    CAMPBELL, DM
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A104 - A104
  • [22] ON A SUBCLASS OF BAZILEVIC FUNCTIONS
    Raza, Mohsan
    Ul Haq, Wasim
    Rabia
    MATHEMATICA SLOVACA, 2017, 67 (04) : 1043 - 1053
  • [23] On harmonic meromorphic spirallike functions
    Ali, Md Firoz
    Pandit, Sushil
    JOURNAL OF ANALYSIS, 2024, : 657 - 672
  • [24] On the Difference of Coefficients of Bazilevic Functions
    Cho, Nak Eun
    Sim, Young Jae
    Thomas, Derek K.
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2019, 19 (04) : 671 - 685
  • [25] ON A SUBCLASS OF BAZILEVIC-FUNCTIONS
    SHANMUGAM, TN
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1986, 95 (02): : 121 - 125
  • [26] BAZILEVIC FUNCTIONS - PRELIMINARY REPORT
    SINGH, R
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A578 - &
  • [27] SOME NOTES ON BAZILEVIC FUNCTIONS
    YOSHIKAWA, H
    YOSHIKAI, T
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 20 (AUG): : 79 - 85
  • [28] Generalizations for Certain Bazilevic Functions
    Yavuz, Emel
    Daymaz, Tugba
    Owa, Shigeyoshi
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2021, 45 (01) : 133 - 142
  • [29] PROBLEM OF GRONWALL FOR BAZILEVIC FUNCTIONS
    LEWIS, JL
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 195 (AUG) : 231 - 242
  • [30] On a Coefficient Conjecture for Bazilevic Functions
    Cho, Nak Eun
    Kumar, Virendra
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (04) : 3083 - 3097
12345