On certain subclasses of starlike and convex functions associated with Pascal distribution series

被引：5
|
作者：
Seker, Bilal [1 ]
Eker, Sevtap Sumer [1 ]
机构：
[1] Dicle Univ, Dept Math, Fac Sci, Diyarbakir, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 06期
关键词：
Univalent functions; Pascal distributions; coefficient bounds and coefficient estimates;
D O I：
10.3906/mat-2003-12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we introduced a new power series whose coefficients are probabilities of the Pascal distribution. We investigated new approaches between the Pascal distribution series and some subclasses of normalized analytic functions. Also, we defined some mappings containing these functions the Alexander type integral operator. Moreover, we obtained sufficient conditions such that these mappings belong to some subclass of univalent functions.
引用
收藏
页码：1982 / 1989
页数：8
相关论文
共 50 条
  • [41] UNIFORMLY CONVEX SPIRAL FUNCTIONS AND UNIFORMLY SPIRALLIKE FUNCTIONS ASSOCIATED WITH PASCAL DISTRIBUTION SERIES
    Murugusundaramoorthy, Gangadharan
    Frasin, Basem Aref
    Al-Hawary, Tariq
    MATHEMATICA BOHEMICA, 2022, 147 (03): : 407 - 417
  • [42] Certain Subclasses of β-Uniformly q-Starlike and β-Uniformly q-Convex Functions
    AbuJarad, Eman S. A.
    AbuJarad, Mohammed H. A.
    Abdeljawad, Thabet
    Jarad, Fahd
    JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [43] PASCAL DISTRIBUTION SERIES RELATED TO STARLIKE FUNCTIONS WITH RESPECT TO OTHER POINTS
    Ramachandran, C.
    Murugusundaramoorthy, G.
    Vanitha, L.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (04): : 1419 - 1429
  • [44] On certain subclasses of univalent functions of complex order associated with poisson distribution series
    Altunhan, Aslihan
    Sumer Eker, Sevtap
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (03): : 1023 - 1034
  • [45] Mapping Properties Of Certain Subclasses Of Analytic Functions Associated With Generalized Distribution Series
    Porwal, Saurabh
    APPLIED MATHEMATICS E-NOTES, 2020, 20 : 39 - 45
  • [46] On certain subclasses of univalent functions of complex order associated with poisson distribution series
    Aslıhan Altunhan
    Sevtap Sümer Eker
    Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 1023 - 1034
  • [47] Properties and characteristics of certain subclasses of starlike functions of order β
    Liu, Ming-Sheng
    Zhu, Yu-Can
    Srivastava, H. M.
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (3-4) : 402 - 419
  • [48] On Certain Subclasses of Starlike p-valent Functions
    Darwish, Hanan Elsayed
    Lashin, Abd-el Monem Yousof
    Soileh, Soliman Mohammed
    KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (03): : 867 - 876
  • [49] On certain subclasses of uniformly convex functions
    Mouajeeb, Emad Kadhim
    Abbas, Sameer Annon
    Hussain, Ahmed Hadi
    Altawil, Jumana A.
    Rasheed, Mazin Saeed
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (08) : 1495 - 1508
  • [50] A certain connection between starlike and convex functions
    Takahashi, N
    Nunokawa, M
    APPLIED MATHEMATICS LETTERS, 2003, 16 (05) : 653 - 655
12345