Subclasses of analytic functions associated with Fox-Wright ’ s generalized hypergeometric functions based on Hilbert space operator
Subclasses of analytic functions associated with Fox-Wright ’ s generalized hypergeometric functions based on Hilbert space operator
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发表时间：
2011
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通讯作者：
G. Murugusundaramoorthy;T. Rosy
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作者：
G. Murugusundaramoorthy;T. Rosy
本文定义了一类广义的星形函数，它是基于Hilbert空间上的卷积算子，涉及经典超几何pFq函数（具有p个分子和q个分母参数）的Fox-Wright推广.本文提出的各种结果包括（例如）赋范系数不等式和估计，失真定理，和半径的凸性和星形的每个解析函数类，在这里进行调查。得到了修正的Hadamard积和积分平均结果。数学学科分类（2010）：30 C45。
In this paper, we define a generalized class of starlike functions which are based upon some convolution operators on Hilbert space involving the Fox-Wright generalization of the classical hypergeometric pFq function (with p numerator and q denominator parameters). The various results presented in this paper include (for example) normed coefficient inequalities and estimates, distortion theorems, and the radii of convexity and starlikeness for each of the analytic function classes which are investigated here. Also we obtain modified Hadamard product and integral means results. Mathematics Subject Classification (2010): 30C45.