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On $H_3(1)$ Hankel determinant for some classes of univalent functions
10/2009;
Source: arXiv
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 Proceedings of the American Mathematical Society 01/1969; 20(1):88. · 0.61 Impact Factor

Article: Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative
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ABSTRACT: By making use of the fractional differential operator ÃŽÂ©zÃŽÂ» due to Owa and Srivastava, a class of analytic functions Ã¢Â„Â›ÃŽÂ»(ÃŽÂ±,ÃÂ)Ã¢Â€Â‰Ã¢Â€Â‰Ã¢Â€Â‰Ã¢Â€Â‰(0Ã¢Â‰Â¤ÃÂÃ¢Â‰Â¤1,Ã¢Â€Â‰Ã¢Â€Â‰0Ã¢Â‰Â¤ÃŽÂ»<1,Ã¢Â€Â‰Ã¢Â€Â‰Ã¢Â€Â‰Ã¢Â€Â‰ÃŽÂ±<ÃÂ€/2) is introduced. The sharp bound for the nonlinear functional a2a4Ã¢ÂˆÂ’a32 is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.International Journal of Mathematics and Mathematical Sciences 01/2008;  Transactions of The American Mathematical Society  TRANS AMER MATH SOC. 01/1976; 223:337337.
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