On subclasses of bi-convex functions defined by Tremblay fractional derivative operator

被引：0
|
作者：
Eker, Sevtap Sumer [1 ]
Sekar, Bilal [1 ]
机构：
[1] Dicle Univ, Fac Sci, Dept Math, TR-21280 Diyarbakir, Turkey
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2019年 / 64卷 / 04期
关键词：
Bi-convex functions; Tremblay fractional derivative; coefficient bounds and coefficient estimates; COEFFICIENT BOUNDS; UNIVALENT; STARLIKE;
D O I：
10.24193/subbmath.2019.4.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and investigate new subclasses of analytic and bi-univalent functions defined by modified Tremblay operator in the open unit disk. Also we obtain upper bounds for the coefficients of functions belonging to these classes.
引用
收藏
页码：467 / 476
页数：10
相关论文
共 50 条
  • [31] Applications of Fractional Differential Operator to Subclasses of Uniformly q-Starlike Functions
    Khan, Nazar
    Khan, Kashif
    Tawfiq, Ferdous M.
    Ro, Jong-Suk
    Al-shbeil, Isra
    FRACTAL AND FRACTIONAL, 2023, 7 (10)
  • [32] FUZZY CLASSES OF ANALYTIC FUNCTIONS DEFINED BY FRACTIONAL DIFFERENTIAL OPERATOR
    Noor, Khalida Inayat
    Noor, Muhammad Aslam
    JOURNAL OF MATHEMATICAL ANALYSIS, 2023, 14 (01): : 18 - 31
  • [33] On the Third Hankel Determinant of a Certain Subclass of Bi-Univalent Functions Defined by (p,q)-Derivative Operator
    El-Ityan, Mohammad
    Shakir, Qasim Ali
    Al-Hawary, Tariq
    Buti, Rafid
    Breaz, Daniel
    Cotirla, Luminita-Ioana
    MATHEMATICS, 2025, 13 (08)
  • [34] Inclusive Subclasses of Bi-Univalent Functions Defined by Error Functions Subordinate to Horadam Polynomials
    Al-Hawary, Tariq
    Frasin, Basem
    Breaz, Daniel
    Cotirla, Luminita-Ioana
    SYMMETRY-BASEL, 2025, 17 (02):
  • [35] Certain subclasses of p-valent starlike functions defined by using a differential operator
    Aouf, M. K.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (02) : 867 - 875
  • [36] Subordination results for classes of analytic functions related to conic domains defined by a fractional operator
    Al-Oboudi, F. M.
    Al-Amoudi, K. A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (02) : 412 - 420
  • [37] A CERTAIN SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY LAMBDA OPERATOR
    Venkateswarlu, B.
    Reddy, P. Thirupathi
    Swapna, G.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (03): : 1083 - 1094
  • [38] Ozaki-Type Bi-Close-to-Convex and Bi-Concave Functions Involving a Modified Caputo's Fractional Operator Linked with a Three-Leaf Function
    Vijaya, Kaliappan
    Murugusundaramoorthy, Gangadharan
    Breaz, Daniel
    Oros, Georgia Irina
    El-Deeb, Sheza M.
    FRACTAL AND FRACTIONAL, 2024, 8 (04)
  • [39] Bell Distribution Series Defined on Subclasses of Bi-Univalent Functions That Are Subordinate to Horadam Polynomials
    Aldawish, Ibtisam
    Frasin, Basem
    Amourah, Ala
    AXIOMS, 2023, 12 (04)
  • [40] Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators
    Orhan, Halit
    Arikan, Hava
    Caglar, Murat
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (02): : 65 - 83
12345