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ON A CLASS OF ANALYTIC FUNCTIONS RELATED TO CONIC DOMAINS AND ASSOCIATED WITH CARLSON-SHAFFER OPERATOR 被引量：4

ON A CLASS OF ANALYTIC FUNCTIONS RELATED TO CONIC DOMAINS AND ASSOCIATED WITH CARLSON-SHAFFER OPERATOR
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摘要 Making use of the Carlson-Shaffer convolution operator, we introduce and study a new class of analytic functions related to conic domains. The main object of this paper is to investigate inclusion relations, coefficient bound for this class. We also show that this class is closed under convolution with a convex function. Some applications are also discussed. Making use of the Carlson-Shaffer convolution operator, we introduce and study a new class of analytic functions related to conic domains. The main object of this paper is to investigate inclusion relations, coefficient bound for this class. We also show that this class is closed under convolution with a convex function. Some applications are also discussed.
作者 S.Hussain J.Sokól
机构地区 Mathematics Department Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1399-1407,共9页 数学物理学报（B辑英文版）
关键词 Hadamard product （or convolution） differential subordination Carlson-Shaffer operator k-starlike functions k-uniformly convex function Hadamard product （or convolution） differential subordination Carlson-Shaffer operator k-starlike functions k-uniformly convex function
分类号 O174.13 [理学—基础数学]
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参考文献23

  • 1Altintas O, Ozkan O. Applications of differential subordination. Appl Math Lett, 2006, 19:728-734.
  • 2A1-Amiri H S, Fernando T S. On close-to-convex functions of complex order. Int J Math Sci, 1990, 13: 321-330.
  • 3Acu M. Some subclasses of a-uniformly convex functions. Acta Mathematica Academiae Pedagogicae Nyiregyhaziensis 2005, 21:49-54.
  • 4Bharati R, Parvatham R, Swaminathan A. On subclasses of uniformly convex functions and corresponding class of starlike functions. Tamkang J Math, 1997, 28(1): 17-32.
  • 5Carlson B C, Shaeffer D B. Starlike and pre-starlike hypergeometric functions. SIAM J Math Anal, 1984, 15:737-745.
  • 6Gangadharan A, Shanmugam T N, Srivastava H M. Generalized hypergeometric functions associated with k-uniformly convex functions. Comput Math Appl, 2002, 44:1515-1526.
  • 7Goodman A W. On uniformly convex functions. Ann Polon Math, 1991, 56(1): 87-92.
  • 8Kanas S, Srivastava H M. Linear operators associated with k-uniformly convex functions. Integral Trans- form Spec Funct, 2000, 9(2): 121-132.
  • 9Kanas S, Wisniowska A. Conic regions and k-uniform convexity. J Comput Appl Math, 1999, 105:327-336.
  • 10Kanas S, Wisniowska A. Conic domains and k-staxlike functions. Rev Roumaine Math Pures Appl, 2000, 45(4): 647-657.

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Acta Mathematica Scientia
2012年 第4期

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