GENERALIZED LAGUERRE POLYNOMIAL BOUNDS FOR SUBCLASS OF BI-UNIVALENT FUNCTIONS

被引：0
|
作者：
Panigrahi, Trailokya [1 ]
Sokol, Janusz [2 ]
机构：
[1] KIIT Deemed Univ, Dept Math, Sch Appl Sci, Bhubaneswar 751024, Odisha, India
[2] Univ Rzeszow, Fac Math & Nat Sci, Rzeszow, Poland
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 14卷 / 01期
关键词：
Analytic functions; Bi-univalent functions; Generalized Laguerre polynomial; Generating function; Fekete-Szego inequality; Principle of subordination;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we propose to introduce a new subclass of biunivalent analytic functions T-Sigma(lambda, gamma) (0 < lambda <= 1, gamma >= 0) which is defined by making use of the generalized Laguerre polynomials in the open unit disk del. We derive upper bounds for the coefficients vertical bar a(2)vertical bar, vertical bar a(3)vertical bar and discuss Fekete-Szego problem for the functions belonging to the new introduced class T-Sigma(lambda, gamma).
引用
收藏
页码：127 / 140
页数：14
相关论文
共 50 条
  • [1] Faber polynomial coefficient bounds for a subclass of bi-univalent functions
    Altnkaya, Sahsene
    Yalcin, Sibel
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2016, 61 (01): : 37 - 44
  • [2] CHEBYSHEV POLYNOMIAL COEFFICIENT BOUNDS FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS
    Caglar, Murat
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2019, 72 (12): : 1608 - 1615
  • [3] Faber polynomial coefficient bounds for a subclass of bi-univalent functions
    Altinkaya, Sahsene
    Yalcin, Sibel
    COMPTES RENDUS MATHEMATIQUE, 2015, 353 (12) : 1075 - 1080
  • [4] COEFFICIENT BOUNDS FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS
    Altinkaya, Sahsene
    Yalcin, Sibel
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, 6 (02): : 180 - 185
  • [5] COEFFICIENT BOUNDS FOR A GENERAL SUBCLASS OF BI-UNIVALENT FUNCTIONS
    Altinkaya, Sahsene
    Yalcin, Sibel
    MATEMATICHE, 2016, 71 (01): : 89 - 97
  • [6] Faber Polynomial Coefficient Estimates on a Subclass of Bi-Univalent Functions
    Xiaoyuan WANG
    Zhiren WANG
    Li YIN
    JournalofMathematicalResearchwithApplications, 2018, 38 (05) : 465 - 470
  • [7] COEFFICIENT BOUNDS FOR A CERTAIN SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS
    Mustafa, Nizami
    Nezir, Veysel
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1492 - 1505
  • [8] 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
  • [9] A Subclass of Meromorphic bi-univalent functions
    Al-kasasbeh, Faisal
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (03): : 547 - 556
  • [10] Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers
    Altinkaya, Sahsene
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (02) : 553 - 560
12345