Certain sufficient conditions for close-to-convexity and starlikeness of multivalent functions

被引:0
|
作者
Aouf, Mohamed K. [1 ]
Bulboaca, Teodor [2 ]
Mostafa, Adela O. [1 ]
机构
[1] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
[2] Babes Bolyai univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
关键词
Analytic functions; multivalent functions; starlike; convex and close-to-convex functions; p-valently starlike functions; Jack-Miller-Mocanu lemma;
D O I
10.12697/ACUTM.2019.23.18
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using Jack's lemma, we derive simple sufficient conditions for analytic functions to be multivalent close-to-convex and multivalent starlike.
引用
收藏
页码:201 / 210
页数:10
相关论文
共 50 条
  • [1] Close-to-convexity, starlikeness, and convexity of certain analytic functions
    Owa, S
    Nunokawa, M
    Saitoh, H
    Srivastava, HM
    APPLIED MATHEMATICS LETTERS, 2002, 15 (01) : 63 - 69
  • [2] CERTAIN SUFFICIENT CONDITIONS FOR STARLIKENESS AND CONVEXITY OF MEROMORPHICALLY MULTIVALENT FUNCTIONS
    Xu, Yihui
    Frasin, B. A.
    Liu, Jinlin
    ACTA MATHEMATICA SCIENTIA, 2013, 33 (05) : 1300 - 1304
  • [3] CERTAIN SUFFICIENT CONDITIONS FOR STARLIKENESS AND CONVEXITY OF MEROMORPHICALLY MULTIVALENT FUNCTIONS
    徐宜会
    B.A.FRASIN
    刘金林
    Acta Mathematica Scientia, 2013, 33 (05) : 1300 - 1304
  • [4] Sufficient conditions for close-to-starlikeness and close-to-convexity of order β
    Liu, Yuwei
    Guo, Lifeng
    PROCEEDINGS OF THE 2013 THE INTERNATIONAL CONFERENCE ON EDUCATION TECHNOLOGY AND INFORMATION SYSTEM (ICETIS 2013), 2013, 65 : 720 - 723
  • [5] On certain sufficient conditions for close-to-convexity
    Patel, J.
    Cho, N. E.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (01) : 369 - 378
  • [6] CLOSE-TO-CONVEXITY AND STARLIKENESS OF CERTAIN ANALYTIC FUNCTIONS DEFINED BY A LINEAR OPERATOR
    Aghalary, Rasoul
    Joshi, Santosh
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 5 (03): : 1 - 7
  • [7] Starlikeness and close-to-convexity involving certain differential inequalities
    Shergill, Kuldeep Kaur
    Billing, Sukhwinder Singh
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2024, 69 (01): : 67 - 73
  • [8] On certain sufficient conditions for starlikeness and convexity
    Obradovic, M
    Joshi, SB
    Jovanovic, I
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1998, 29 (03): : 271 - 275
  • [10] Starlikeness, Convexity and Close-to-convexity of Harmonic Mappings
    Nagpal, Sumit
    Ravichandran, V.
    CURRENT TOPICS IN PURE AND COMPUTATIONAL COMPLEX ANALYSIS, 2014, : 201 - 214