Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator

被引:5
|
作者
Yalcin, Sibel [1 ]
Altmkaya, Sahsene [1 ]
Murugusundaramoorthy, Gangadharan [2 ]
Vijaya, Kaliappan [2 ]
机构
[1] Bursa Uludag Univ, Dept Math, TR-16059 Bursa, Turkey
[2] Vellore Inst Technol, Dept Math, Vellore 632014, Tamil Nadu, India
关键词
bi-univalent; coefficient bounds; convex functions; Hankel inequalities; Starlike; univalent; COEFFICIENT; DETERMINANT;
D O I
10.5614/j.math.fund.sci.2020.52.2.4
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this investigation a new subclass of bi-univalent functions is established that are defined in the open unit disk Delta={Z is an element of(C:vertical bar IZ vertical bar < 1) and are endowed with the Salagean type q-difference operator. Then, Hankel inequalities for the new function class are obtained and several related consequences of the results are also stated.
引用
收藏
页码:189 / 201
页数:13
相关论文
共 50 条
  • [31] SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS
    Frasin, B. A.
    Vijaya, K.
    Kasthuri, M.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, 7 (02): : 185 - 199
  • [32] Coefficient Estimates for a Subclass of Bi-Univalent Functions Defined by q-Derivative Operator
    Elhaddad, Suhila
    Darus, Maslina
    MATHEMATICS, 2020, 8 (03)
  • [33] SALAGEAN-TYPE ANALYTIC FUNCTIONS ASSOCIATED WITH THE JANOWSKI FUNCTIONS AND q-DIFFERENCE OPERATOR
    Cetinkaya, Asena
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 341 - 349
  • [34] Yamaguchi -Noshiro Type Bi-Univalent Functions Associated with Salagean-Erdely-Kober Operator
    Alharbi, Asma
    Murugusundaramoorthy, Gangadharan
    El-Deeb, Sheza. M.
    MATHEMATICS, 2022, 10 (13)
  • [35] Salagean-type harmonic multivalent functions defined by q-difference operator
    Ahuja, Om P.
    Cetinkaya, Asena
    Mert, Oya
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2022, 67 (03): : 489 - 499
  • [36] ON A CLASS OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER RELATED TO FABER POLYNOMIALS AND q-SALAGEAN OPERATOR
    Nsar, Zeinab
    Mostafa, Adela O.
    Mohamed, Samar
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (03): : 664 - 673
  • [37] On a Subclass of Analytic and Bi-univalent Functions
    Hussain, S.
    Khan, N.
    Khan, S.
    Ahmad, Q. Z.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2019, 43 (01) : 51 - 60
  • [38] ON NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY GENERALIZED SALAGEAN DIFFERENTIAL OPERATOR
    Toklu, Evriim
    Aktas, Ibrahim
    Sagsoz, Fatma
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 776 - 783
  • [39] A Subclass of Meromorphic bi-univalent functions
    Al-kasasbeh, Faisal
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (03): : 547 - 556
  • [40] Hankel determinant of a subclass of analytic and bi-univalent functions defined by means of subordination and q-differentiation
    Lasode, Ayotunde Olajide
    Opoola, Timothy Oloyede
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 3105 - 3114