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
  • [31] STARLIKENESS AND CONVEXITY OF THE PRODUCT OF CERTAIN MULTIVALENT FUNCTIONS WITH HIGHER-ORDER DERIVATIVES
    Aouf, Mohamed K.
    Lashin, Abdel Moneim
    Bulboaca, Teodor
    MATHEMATICA SLOVACA, 2021, 71 (02) : 331 - 340
  • [32] Close-to-convexity of normalized Dini functions
    Baricz, Arpad
    Deniz, Erhan
    Yagmur, Nihat
    MATHEMATISCHE NACHRICHTEN, 2016, 289 (14-15) : 1721 - 1726
  • [33] Some sufficient conditions for starlikeness and convexity
    Nunokawa, Mamoru
    Owa, Shigeyoshi
    Polatoglu, Yasar
    Caglar, Mert
    Duman, Emel Yavuz
    TURKISH JOURNAL OF MATHEMATICS, 2010, 34 (03) : 333 - 337
  • [34] Conditions for Starlikeness of Multivalent Functions
    Mamoru Nunokawa
    Janusz Sokół
    Results in Mathematics, 2017, 72 : 359 - 367
  • [35] Conditions for Starlikeness of Multivalent Functions
    Nunokawa, Mamoru
    Sokol, Janusz
    RESULTS IN MATHEMATICS, 2017, 72 (1-2) : 359 - 367
  • [36] Close-to-convexity properties of Gaussian hypergeometric functions
    Ponnusamy, S
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 88 (02) : 327 - 337
  • [37] Close-to-Convexity of Some Special Functions and Their Derivatives
    Baricz, Arpad
    Szasz, Robert
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (01) : 427 - 437
  • [38] On Some Criteria for Close-To-Convexity of Meromorphic Functions
    B.A. Uralegaddi
    Dept. of Math.
    数学研究与评论, 2000, (02) : 177 - 180
  • [39] Some Sufficient Conditions for Starlikeness and Convexity of Order α
    Cang, Yi-Ling
    Liu, Jin-Lin
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [40] Extensions of sufficient conditions for starlikeness and convexity of order α
    Uyanik, Neslihan
    Aydogan, Melike
    Owa, Shigeyoshi
    APPLIED MATHEMATICS LETTERS, 2011, 24 (08) : 1393 - 1399