A UNIFIED CLASS OF ANALYTIC FUNCTIONS WITH FIXED ARGUMENT OF COEFFICIENTS 被引量：2

A UNIFIED CLASS OF ANALYTIC FUNCTIONS WITH FIXED ARGUMENT OF COEFFICIENTS

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摘要 In this paper we introduce new classes of analytic functions with fixed argument of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of convexity and starlikeness are investigated. Convolution properties are also pointed out. In this paper we introduce new classes of analytic functions with fixed argument of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of convexity and starlikeness are investigated. Convolution properties are also pointed out.

作者 J. Dziok

机构地区 Institute of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1357-1366,共10页 数学物理学报（B辑英文版）

关键词 analytic functions fixed argument SUBORDINATION Hadamard product analytic functions fixed argument subordination Hadamard product

分类号 O174.6 [理学—基础数学]

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1Srivastava H M, Karlsson P W. Multiple Gaussian Hypergeometric Series A. New York, Chichester, Bris- bane, Toronto: Halsted Press Book (Ellis Horwood Limited, Chichester), John Wiley and Sons, 1985.
2Owa S, Srivastava H M. Univalent and starlike generalized hypergeometric functions. Canad J Math, 1987, 39:1057-1077.
3Dziok J, Srivastava H M. Classes of analytic functions associated with the generalized hypergeometric function. Appl Math Comput, 1999, 103:1-13.
4Dziok J, Srivastava H M. Certain subclasses of analytic functions associated with the generalized hyper- geometric function. Integral Transforms Spec Funct, 2003, 14:7-18.
5Dziok J, Srivastava H M. Some subclasses of analytic functions with fixed argument of coefficients associ- ated with the generalized hypergeometric function. Adv Stud Contemp Math, 2002, 5:115-125.
6Liu J-L, Srivastava H M. Certain properties of the Dziok-Srivastava operator. Appl Math Comput, 2004, 159:485-493.
7Sok6tJ. On some applications of the Dziok-Srivastava operator. Appl Math Comput, 2008, 201:774-780.
8Dziok J. On the convex combination of the Dziok-Srivastava operator. Appl Math Comput, 2007, 188: 1214-1220.
9Aouf M K. The quasi-Hadamard products of certain subclasses of analytic p-valent functions with negative coefficients. Appl Math Comput, 2007, 187:54-61.
10Srivastava H M, Aouf M K. A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients. I. J Math Anal Appl, 1992, 171:1-13.

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2Xiong L P, Tian L, Luo S, Liu X. Extreme points and support points of a class of analytic functions with missing coefficients[J]. Demonstratio Mathematica, 2013, 46(3): 525-532.
3Deniz E, Orhan H. The Fekete-Szeg5 problem for a generalized subclass of analytic functions[J]. Kyungpook Math J, 2010, 50: 37-47.
4A1-Oboudi F M. On univalent functions defined by a generalized Salagean operator[J]. Int J Math Math Sci, 2004, 27: 1429-1436.
5Rucanu D, Orhan H. Subclasses of analytic functions defined by a generalized differential opera- tor[J]. Int J Math Anal, 2010, 4(1): 1-15.
6Slgean G S. Subclasses of univalent functions, Complex analysis[C]//Proc 5th Rom- Finn Semin, Bucharest 1981, Part 1, Lect Notes Math, 1983, 1013: 362-372.
7Hallenbeck D J. Linear Problems and Convexity Techniques in Geometric Function Theorem[M] Boston: Pitman Advanced Publishing Program, 1984.
8朱燕,邵礼翠.具有负系数的解析函数的新子类及其性质[J].徐州师范大学学报（自然科学版）,2011,29(2):28-31. 被引量：1
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3胡克.ON THE DISTORTION THEOREM OF SCHLICHT FUNCTIONS[J].Chinese Science Bulletin,1980,25(12):977-980.
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9程乾生.MODIFIED-GENERALIZED PAD RATIONAL APPROXIMATION[J].Chinese Science Bulletin,1983,28(6):856-857.
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2011年第4期

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A UNIFIED CLASS OF ANALYTIC FUNCTIONS WITH FIXED ARGUMENT OF COEFFICIENTS 被引量：2

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