Differential inequalities and criteria for starlike and convex functions

被引：0
|
作者：
Billing, Sukhwinder Singh [1 ]
机构：
[1] Sri Guru Granth Sahib World Univ, Dept Math, Fatehgarh Sahib 140407, Punjab, India
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2014年 / 59卷 / 02期
关键词：
Multiplier transformation; analytic function; starlike function; convex function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We, here, study a differential inequality involving a multiplier transformation. In particular, we obtain certain new criteria for starlikeness and convexity of normalized analytic functions. We also show that our results generalize some known results.
引用
收藏
页码：191 / 198
页数：8
相关论文
共 50 条
  • [21] 2 INEQUALITIES FOR STARLIKE FUNCTIONS
    MCLAUGHLIN, R
    COLLOQUIUM MATHEMATICUM, 1976, 34 (02) : 287 - 292
  • [22] CONVEX AND STARLIKE UNIVALENT FUNCTIONS
    BERNARDI, SD
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) : 429 - &
  • [23] On convex and starlike functions in a sector
    Nunokawa, M
    Thomas, DK
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1996, 60 : 363 - 368
  • [24] SOME INEQUALITIES FOR STARLIKE FUNCTIONS
    RUSCHEWEYH, S
    SINGH, V
    MONATSHEFTE FUR MATHEMATIK, 1984, 97 (04): : 325 - 330
  • [25] SOME INEQUALITIES FOR CONVEX, STARLIKE, AND CLOSE-TO-CONVEX MAPPINGS
    HALLENBECK, DJ
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A325 - A325
  • [26] SOME INEQUALITIES FOR CONVEX, STARLIKE, AND CLOSE-TO-CONVEX MAPPINGS
    HALLENBECK, DJ
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 1974, 24 (12) : 411 - 415
  • [27] SHARP INEQUALITIES FOR HERMITIAN TOEPLITZ. DETERMINANTS FOR STRONGLY STARLIKE AND STRONGLY CONVEX FUNCTIONS
    Kowalczyk, Bogumila
    Lecko, Adam
    Smiarowska, Barbara
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 323 - 332
  • [28] ON CONVEX AND STARLIKE UNIVALENT-FUNCTIONS
    PANDEY, RK
    BHARGAVA, GP
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1983, 28 (03) : 393 - 400
  • [29] FUNCTIONS STARLIKE AND CONVEX OF ORDER ALPHA
    GOEL, RM
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1974, 9 (NOV): : 128 - 130
  • [30] STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA
    SINGH, P
    CHANDRA, S
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A587 - &
12345