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

被引:3
|
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] Initial logarithmic coefficients for functions starlike with respect to symmetric points
    Paweł Zaprawa
    Boletín de la Sociedad Matemática Mexicana, 2021, 27
  • [32] Convolutions of meromorphic multivalent functions with respect to n-ply points and symmetric conjugate points
    Chandrashekar, R.
    Ali, Rosihan M.
    Lee, See Keong
    Ravichandran, V.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 723 - 728
  • [33] A CLASS OF HARMONIC STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS ASSOCIATED WITH WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTION
    M.K. Aouf
    R.M. El-Ashwah
    A. Shamandy
    S.M. El-Deeb
    Analysis in Theory and Applications, 2012, 28 (04) : 363 - 376
  • [34] Zalcman coefficient functional for tilted starlike functions with respect to conjugate points
    Mohamad, Daud
    Wahid, Nur Hazwani Aqilah Abdul
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 29 (01): : 40 - 51
  • [35] Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points
    Wahid, Nur Hazwani Aqilah Abdul
    Mohamad, Daud
    SAINS MALAYSIANA, 2021, 50 (12): : 3745 - 3751
  • [36] Some generalisations of analytic functions with respect to 2k-symmetric conjugate points
    Bukhari, Syed Z. H.
    Nazir, Maryam
    Raza, Mohsan
    MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2016, 10 (01) : 1 - 12
  • [37] ON CERTAIN SUBCLASSES OF FUNCTIONS WITH RESPECT TO (2j, k)- SYMMETRIC CONJUGATE POINTS
    Alsarari, Fuad. S.
    Latha, S.
    JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2014, 13 (01): : 17 - 30
  • [38] A Subclass of α-Convex Functions with Respect to (2j, k)-Symmetric Conjugate Points
    Srivastava, Hari Mohan
    Bukhari, Syed Zakar Hussain
    Nazir, Maryam
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (05) : 1227 - 1242
  • [39] Coefficient Inequality for Transforms of Starlike and Convex Functions with Respect to Symmetric Points
    Krishna, Deekonda Vamshee
    Venkateswarlu, Bollineni
    Ramreddy, Thoutreddy
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (02): : 429 - 438
  • [40] Bounds on Hankel determinant for starlike and convex functions with respect to symmetric points
    Mishra, Ambuj K.
    Prajapat, Jugal K.
    Maharana, Sudhananda
    COGENT MATHEMATICS, 2016, 3