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STUDIA MATHEMATICA - Issue no. 3 / 2011 | |||||||
Article: |
SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH FOX-WRIGHT’S GENERALIZED HYPERGEOMETRIC FUNCTIONS BASED ON HILBERT SPACE OPERATOR. Authors: . |
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Abstract: 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. Keywords: Analytic, univalent, starlikeness, convexity, Hadamard product (convolution) hypergeometric functions. |
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