Successive coefficients for spirallike and related functions

被引：10
|
作者：
Arora, Vibhuti [1 ]
Ponnusamy, Saminathan [2 ]
Sahoo, Swadesh Kumar [1 ]
机构：
[1] Indian Inst Technol Indore, Discipline Math, Khandwa Rd, Indore 453552, Madhya Pradesh, India
[2] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 04期
关键词：
Convex functions; Close-to-convex functions; Starlike functions; Spirallike functions; Successive coefficients; INEQUALITY;
D O I：
10.1007/s13398-019-00664-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the family of all analytic and univalent functions in the unit disk of the form f (z) = z + a2z2 + a3z3 + center dot center dot center dot. Our objective in this paper is to estimate the difference of the moduli of successive coefficients, that is vertical bar an+ 1 vertical bar - vertical bar an vertical bar , for f belonging to the family of. - spirallike functions of order a. Our particular results include the case of starlike and convex functions of order a and other related class of functions.
引用
收藏
页码：2969 / 2979
页数：11
相关论文
共 50 条
  • [41] δ-spirallike functions with respect to a boundary point
    Lecko, Adam
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2008, 38 (03) : 979 - 992
  • [42] Some subordination properties for spirallike functions
    Kim, Yong Chan
    Srivastava, H. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 838 - 842
  • [43] Slice Spirallike Functions over Quaternions
    Xu, Zhenghua
    Zhang, Die
    Liu, Yuan
    Si, Jiajia
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (07)
  • [44] ON SUCCESSIVE COEFFICIENTS OF AREALLY MEAN P-VALENT FUNCTIONS
    LUCAS, KW
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1969, 44 (176P): : 631 - &
  • [45] A New Class of Meromorphic Functions Associated with Spirallike Functions
    Shi, Lei
    Wang, Zhi-Gang
    Yi, Jing-Ping
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [46] ON SHARP GENERAL COEFFICIENT ESTIMATES FOR ϑ-SPIRALLIKE FUNCTIONS
    Altinkaya, Sahsene
    Yavuz, Tugba
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (02): : 461 - 468
  • [47] Results on spirallike p-valent functions
    Khan, Nazar
    Ahmad, Qazi Zahoor
    Khalid, Tooba
    Khan, Bilal
    AIMS MATHEMATICS, 2018, 3 (01): : 12 - 20
  • [48] Some subclasses of multivalent spirallike meromorphic functions
    Lei Shi
    Zhi-Gang Wang
    Ming-Hua Zeng
    Journal of Inequalities and Applications, 2013
  • [49] Quasiconformal Extension of Strongly Spirallike Functions
    Toshiyuki Sugawa
    Computational Methods and Function Theory, 2012, 12 : 19 - 30
  • [50] Study of Multivalent Spirallike Bazilevic Functions
    Khan, Nazar
    Khan, Ajmal
    Ahmad, Qazi Zahoor
    Khan, Bilal
    Khan, Shahid
    AIMS MATHEMATICS, 2018, 3 (03): : 353 - 364
12345