ON HARMONIC STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC, CONJUGATE AND SYMMETRIC CONJUGATE POINTS

被引:4
作者
Liu, Zhi-Hong [1 ]
Sun, Yong [2 ]
Wang, Zhi-Gang [3 ]
机构
[1] Honghe Univ, Coll Math, Mengzi 661100, Yunnan, Peoples R China
[2] Hunan Univ, Sch Math & Econometr, Changsha 410082, Hunan, Peoples R China
[3] Anyang Normal Univ, Sch Math & Stat, Anyang 455002, Henan, Peoples R China
关键词
Harmonic functions; harmonic starlike functions; symmetric points; conjugate points; symmetric conjugate points; UNIVALENT-FUNCTIONS; SUBCLASS; COEFFICIENTS;
D O I
10.2989/16073606.2013.779960
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we introduce the notions of functions harmonic starlike with respect to symmetric, conjugate and symmetric conjugate points. Such results as coefficient inequalities and structural formulae for these function classes are proved.
引用
收藏
页码:79 / 90
页数:12
相关论文
共 50 条
  • [31] A FAMILY OF MEROMORPHICALLY MULTIVALENT FUNCTIONS WHICH ARE STARLIKE WITH RESPECT TO k-SYMMETRIC POINTS
    Liu, Jin-Lin
    Srivastava, H. M.
    Yuan, Yuan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (03): : 781 - 798
  • [32] Coefficient Estimates for the Functions with Respect to Symmetric Conjugate Points Connected with the Combination Binomial Series and Babalola Operator and Lucas Polynomials
    El-Deeb, Sheza M.
    Lupas, Alina Alb
    FRACTAL AND FRACTIONAL, 2022, 6 (07)
  • [33] UNIVALENT HARMONIC FUNCTIONS DEFINED BY SALAGEAN INTEGRAL OPERATOR WITH RESPECT TO SYMMETRIC POINTS
    Aouf, Mohamed K.
    El-Ashwah, Rabha M.
    Shamandy, Ali
    El-Deeb, Sheza M.
    MATEMATICHE, 2012, 67 (02): : 203 - 216
  • [34] PROPERTIES OF HARMONIC FUNCTIONS WHICH ARE CONVEX OF ORDER beta WITH RESPECT TO SYMMETRIC POINTS
    Janteng, Aini
    Halim, Suzeini Abdul
    TAMKANG JOURNAL OF MATHEMATICS, 2009, 40 (01): : 31 - 39
  • [35] On a Subfamily of q-Starlike Functions with Respect to m-Symmetric Points Associated with the q-Janowski Function
    Gul, Ihtesham
    Al-Sa'di, Sa'ud
    Noor, Khalida Inayat
    Hussain, Saqib
    SYMMETRY-BASEL, 2023, 15 (03):
  • [36] A new class of (j, k)-symmetric harmonic starlike functions
    Al Sarari, Fuad
    Satyanarayana, Latha
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (04): : 553 - 559
  • [37] Uniformly Close-to-Convex Functions with Respect to Conjugate Points
    Bukhari, Syed Zakar Hussain
    Salahuddin, Taimoor
    Ahmad, Imtiaz
    Ishaq, Muhammad
    Muhammad, Shah
    KYUNGPOOK MATHEMATICAL JOURNAL, 2022, 62 (02): : 229 - 242
  • [38] Second Hankel Determinants and Fekete-Szeg? Inequalities for Some Sub-Classes of Bi-Univalent Functions with Respect to Symmetric and Conjugate Points Related to a Shell Shaped Region
    Rayaprolu Bharavi Sharma
    Kalikota Rajya Laxmi
    AnalysisinTheoryandApplications, 2018, 34 (04) : 358 - 373
  • [39] SOME PROPERTIES OF CERTAIN SUBCLASSES OF CLOSE-TO-CONVEX AND QUASI-CONVEX FUNCTIONS WITH RESPECT TO 2k-SYMMETRIC CONJUGATE POINTS
    Wang, Z. -G.
    Jiang, Y. -P.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2010, 36 (02): : 217 - 238
  • [40] Coefficient Estimate for a Subclass of Univalent Functions with Respect to Symmetric Points
    Xu, Qing-Hua
    Wu, Guang-Ping
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, 3 (06): : 1055 - 1061