A class of uniformly convex functions of order a with negative and fixed finitely many coefficients

被引：0
|
作者：
Dixit, KK [1 ]
Misra, IB [1 ]
机构：
[1] Janta Coll, Dept Math, Etawah 206124, Uttar Pradesh, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2001年 / 32卷 / 05期
关键词：
univalent; convex; starlike; uniformly convex;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of the present paper is to obtain several interesting properties of the class UCT (alpha, c(k)), consisting of uniformly convex functions of order alpha with negative and fixed finitely many coefficients. These properties include coefficient estimates, radius of convexity and closure theorems for the functions belonging to the class UCT (alpha, c(k)).
引用
收藏
页码：711 / 716
页数：6
相关论文
共 50 条
  • [1] Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative
    Ebadian, Ali
    Aghalary, Rasoul
    Najafzadeh, Shahram
    KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (04): : 499 - 507
  • [2] Results on a class of analytic functions with finitely many fixed coefficients related to a generalised multiplier transformation
    Oluwayemi, M. O.
    Lupas, Alina Alb
    Catas, Adrina
    SCIENTIFIC AFRICAN, 2022, 15
  • [3] On order of strongly starlikeness in the class of uniformly convex functions
    Nunokawa, Mamoru
    Sokol, Janusz
    MATHEMATISCHE NACHRICHTEN, 2015, 288 (8-9) : 1003 - 1008
  • [4] SOME PROPERTIES OF A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS
    Aouf, M. K.
    Mostafa, A. O.
    DEMONSTRATIO MATHEMATICA, 2008, 41 (02) : 353 - 370
  • [5] SALAGEAN-TYPE HARMONIC UNIVALENT FUNCTIONS WITH FIXED FINITELY MANY COEFFICIENTS
    Porwal, Saurabh
    Frasin, Basem A.
    Kureel, Rekha
    MATEMATICHE, 2015, 70 (01): : 93 - 102
  • [6] UNIVALENT HOLOMORPHIC FUNCTIONS WITH FIXED FINITELY MANY COEFFICIENTS INVOLVING SALAGEAN OPERATOR
    Acu, M.
    Najafzadeh, Sh.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2010, 1 (01): : 1 - 5
  • [7] CERTAIN SUBCLASSES OF UNIFORMLY STARLIKE AND CONVEX FUNCTIONS DEFINED BY CONVOLUTION WITH NEGATIVE COEFFICIENTS
    Aouf, M. K.
    Shamandy, A. A.
    Mostafa, A. O.
    Wagdy, A. K.
    MATEMATICKI VESNIK, 2013, 65 (01): : 14 - 28
  • [8] A CERTAIN SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY LAMBDA OPERATOR
    Venkateswarlu, B.
    Reddy, P. Thirupathi
    Swapna, G.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (03): : 1083 - 1094
  • [9] The exact order of starlikeness of uniformly convex functions
    Szasz, Robert
    Kupan, Pal Aurel
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (01) : 173 - 186
  • [10] A new class of univalent functions with negative coefficients with two fixed points
    Kulkarni, S. R.
    Naik, U. H.
    Indian Journal of Pure and Applied Mathematics, 27 (07):
12345