A New Family of Starlike Functions in a Circular Domain Involving a q-differential Operator

被引：1
作者：
Arif, M. [1 ]
Khan, Q. [1 ]
Sokol, J. [2 ]
机构：
[1] Abdul Wali Khan Univ, Mardan, Pakistan
[2] Univ Rzeszow, Rzeszow, Poland
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2019年 / 54卷 / 06期
关键词：
Analytic function; Janowski function; q-differential operator;
D O I：
10.3103/S1068362319060037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of the present paper is to investigate a number of useful properties such as sufficiency criteria, distortion bounds, coefficient estimates, radius of starlikness and radius of convexity for a new subclass of analytic functions, which are defined here by means of a newly defined q-linear differential operator.
引用
收藏
页码：339 / 346
页数：8
相关论文
共 18 条
[1]   STARLIKENESS OF q-DIFFERENTIAL OPERATOR INVOLVING QUANTUM CALCULUS [J].
Aldawish, Ibtisam ;
Darus, Maslina .
KOREAN JOURNAL OF MATHEMATICS, 2014, 22 (04) :699-709
[2]  
Aldweby H, 2013, ISRN MATH ANAL, V2013, P382312
[3]  
Aldweby H, 2013, STUD U BABES-BOL MAT, V58, P529
[4]   Some Subordination Results on q-Analogue of Ruscheweyh Differential Operator [J].
Aldweby, Huda ;
Darus, Maslina .
ABSTRACT AND APPLIED ANALYSIS, 2014,
[5]  
Anastassiou G.A., 2006, J INEQUALITIES APPL, V2006, P17231, DOI [10.1155/JIA/2006/17231, DOI 10.1155/JIA/2006/17231]
[6]  
Anastassiou GA, 2006, J KOREAN MATH SOC, V43, P425
[7]  
Aral A, 2006, J COMPUT ANAL APPL, V8, P249
[8]   Generalized q-Baskakov operators [J].
Aral, Ali ;
Gupta, Vijay .
MATHEMATICA SLOVACA, 2011, 61 (04) :619-634
[9]  
Aral A, 2009, DEMONSTR MATH, V42, P109
[10]   On the Durrmeyer type modification of the q-Baskakov type operators [J].
Aral, Ali ;
Gupta, Vijay .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1171-1180
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