The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator

被引：66
|
作者：
Srivastava, Hari Mohan [1 ,2 ]
Khan, Shahid [3 ]
Ahmad, Qazi Zahoor [4 ]
Khan, Nazar [4 ]
Hussain, Saqib [5 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[3] Riphah Int Univ, Dept Math, Islamabad, Pakistan
[4] Abbottabad Univ Sci & Technol, Dept Math, Abbottabad, Pakistan
[5] COMSATS Inst Informat Technol, Dept Math, Abbottabad, Pakistan
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2018年 / 63卷 / 04期
关键词：
Analytic functions; univalent functions; Taylor-Maclaurin series representation; Faber polynomials; bi-inivalent functions; q-derivative operator; q-hypergeometric functions; q-integral operators;
D O I：
10.24193/subbmath.2018.4.01
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain q-integral operator in the open unit disk U = {z : z is an element of C and vertical bar z vertical bar < 1}. By applying the Faber polynomial expansion method as well as the q-analysis, we then determine bounds for the nth coefficient in the Taylor-Maclaurin series expansion for functions in each of these newly-defined analytic and bi-univalent function classes subject to a gap series condition. We also highlight some known consequences of our main results.
引用
收藏
页码：419 / 436
页数：18
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