Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions

被引：12
作者：
Arif, M. [1 ]
Noor, K. I. [2 ]
Raza, M. [3 ]
Haq, W. [1 ]
机构：
[1] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
[3] GC Univ, Dept Math, Faisalabad 38000, Pakistan
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
BOUNDED BOUNDARY ROTATION;
D O I：
10.1155/2012/279843
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define a class (T) over tilde (k) [A, B, alpha, rho] of analytic functions by using Janowski's functions which generalizes a number of classes studied earlier such as the class of strongly close-to-convex functions. Some properties of this class, including arc length, coefficient problems, and a distortion result, are investigated. We also discuss the growth of Hankel determinant problem.
引用
收藏
页数：11
相关论文
共 25 条
  • [1] [Anonymous], 1958, Pac. J. Math.
  • [2] POWER SERIES WITH INTEGRAL COEFFICIENTS
    CANTOR, DG
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1963, 69 (03) : 362 - &
  • [3] Dienes P., 1957, The Taylor Series: An Introduction to the Theory of Functions of a Complex Variable
  • [4] EDREI A., 1940, COMPOS MATH, V7, P20
  • [5] Goluzin GM., 1946, MAT SBORNIK, V19, P183
  • [6] Janowski W., 1973, POLSKA AKAD NAUK ANN, V28, P297
  • [7] NOONAN JW, 1972, P LOND MATH SOC, V25, P503
  • [8] On Bounded Boundary and Bounded Radius Rotations
    Noor, K. I.
    Ul-Haq, W.
    Arif, M.
    Mustafa, S.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [9] Noor K. I., 2002, MATH CLUJ, V44, P25
  • [10] NOOR K.I., 1997, J NAT GEOM, V11, P29
123