Coefficient Bounds for a Unified Class of Holomorphic Functions

被引：1
|
作者：
Mundalia, Mridula [1 ]
Shanmugam, Sivaprasad Kumar [1 ]
机构：
[1] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
来源：
MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018 | 2020年 / 306卷
关键词：
Univalent functions; Starlike functions; Convex functions; Fekete-Szego coefficient functional; Subordination; STARLIKE FUNCTIONS;
D O I：
10.1007/978-981-15-1153-0_17
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, sharp initial coefficient bounds have been estimated for functions in the newly defined classes S-gamma,delta(k)(Phi) and S-gamma,delta,h(k)(Phi), which in fact, unifies many earlier known classes. Further, sharp bounds of the Fekete-Szego coefficient functional for functions in the classes introduced here are obtained and special cases of our results are also pointed out.
引用
收藏
页码：197 / 210
页数：14
相关论文
共 50 条
  • [41] Coefficient bounds for certain subclasses of starlike functions
    Nak Eun Cho
    Virendra Kumar
    Oh Sang Kwon
    Young Jae Sim
    Journal of Inequalities and Applications, 2019
  • [42] Coefficient Bounds for Certain Classes of Meromorphic Functions
    Silverman, H.
    Suchithra, K.
    Stephen, B. Adolf
    Gangadharan, A.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
  • [43] Sharp Coefficient Bounds for the Quotient of Analytic Functions
    Park, Ji Hyang
    Kumar, Virendra
    Cho, Nak Eun
    KYUNGPOOK MATHEMATICAL JOURNAL, 2018, 58 (02): : 231 - 242
  • [44] Radius Constants for Functions with the Prescribed Coefficient Bounds
    Ahuja, Om P.
    Nagpal, Sumit
    Ravichandran, V.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [45] GLOBAL AND LOCAL GOURSAT PROBLEMS IN A CLASS OF HOLOMORPHIC OR PARTIALLY HOLOMORPHIC-FUNCTIONS
    MIYAKE, M
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 39 (03) : 445 - 463
  • [46] CLASS OF BOUNDS OF THE GENERALIZED VOLTERRA FUNCTIONS
    Mehrez, Khaled
    Brahim, Kamel
    Sitnik, Sergei M.
    MATHEMATICA SLOVACA, 2024, 74 (02) : 365 - 378
  • [47] The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variables
    Xu, Qinghua
    Liu, Taishun
    Liu, Xiaosong
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 41 (01) : 37 - 48
  • [48] The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variables
    Qinghua XU
    Taishun LIU
    Xiaosong LIU
    ChineseAnnalsofMathematics,SeriesB, 2020, (01) : 37 - 48
  • [49] The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variables
    Qinghua Xu
    Taishun Liu
    Xiaosong Liu
    Chinese Annals of Mathematics, Series B, 2020, 41 : 37 - 48
  • [50] Logarithmic Coefficient Bounds and Coefficient Conjectures for Classes Associated with Convex Functions
    Alimohammadi, Davood
    Adegani, Ebrahim Analouei
    Bulboaca, Teodor
    Cho, Nak Eun
    JOURNAL OF FUNCTION SPACES, 2021, 2021
12345