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
下载
收藏
页码：191 / 198
页数：8
相关论文
共 50 条
  • [1] Differential inequalities and criteria for starlike and univalent functions
    Obradovic, M.
    Ponnusamy, S.
    Singh, V.
    Vasundhra, P.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (01) : 303 - 317
  • [2] On some differential inequalities for multivalent starlike and convex functions
    Jurasinska, Renata
    Nunokawa, Mamoru
    Sokol, Janusz
    BULLETIN DES SCIENCES MATHEMATIQUES, 2020, 161
  • [3] Starlike and close-to-convex functions defined by differential inequalities
    Obradovic, M.
    Ponnusamy, S.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (07) : 2642 - 2648
  • [4] Criteria for starlike and convex functions of order α
    Neng Xu
    Ding-Gong Yang
    Journal of Inequalities and Applications, 2015
  • [5] Criteria for univalent, starlike and convex functions
    Ponnusamy, S
    Singh, V
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2002, 9 (04) : 511 - 531
  • [6] Criteria for starlike and convex functions of order α
    Xu, Neng
    Yang, Ding-Gong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [7] Coefficient inequalities for certain starlike and convex functions
    Kumar, Sushil
    Cetinkaya, Asena
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (01): : 156 - 171
  • [8] SOME CONFORMAL MAPPING INEQUALITIES FOR STARLIKE AND CONVEX FUNCTIONS
    SHEILSMA.T
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1969, 1 (4P4): : 577 - &
  • [9] Differential inequalities for spirallike and strongly starlike functions
    Cho, Nak Eun
    Kwon, Oh Sang
    Sim, Young Jae
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [10] Differential inequalities for spirallike and strongly starlike functions
    Nak Eun Cho
    Oh Sang Kwon
    Young Jae Sim
    Advances in Difference Equations, 2021
12345