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 17 条
  • [1] FUNCTIONS STARLIKE AND CONVEX OF ORDER ALPHA
    JACK, IS
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1971, 3 (APR): : 469 - &
  • [2] Kanas S, 2005, ACTA MATH UNIV COMEN, V74, P149
  • [3] Conic regions and k-uniform convexity
    Kanas, S
    Wisniowska, A
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 105 (1-2) : 327 - 336
  • [4] Kanas S., 2000, Rev. Roum. Math. Pures Appl., V45, P647
  • [5] Kanas S., 2003, INT J MATH MATH SCI, V2003, P2389, DOI [10.1155/S0161171203302212, DOI 10.1155/S0161171203302212]
  • [6] Some class of analytic functions related to conic domains
    Kanas, Stanislawa
    Raducanu, Dorina
    [J]. MATHEMATICA SLOVACA, 2014, 64 (05) : 1183 - 1196
  • [7] A COEFFICIENT INEQUALITY FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS
    KEOGH, FR
    MERKES, EP
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (01) : 8 - &
  • [8] Results on spirallike p-valent functions
    Khan, Nazar
    Ahmad, Qazi Zahoor
    Khalid, Tooba
    Khan, Bilal
    [J]. AIMS MATHEMATICS, 2018, 3 (01): : 12 - 20
  • [9] Some Convolution Properties of Multivalent Analytic Functions
    Khan, Nazar
    Khan, Bilal
    Ahmad, Qazi Zahoor
    Ahmad, Sarfraz
    [J]. AIMS MATHEMATICS, 2017, 2 (02): : 260 - 268
  • [10] UNIVALENT ALPHA-SPIRAL FUNCTIONS
    LIBERA, RJ
    [J]. CANADIAN JOURNAL OF MATHEMATICS, 1967, 19 (03): : 449 - &