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Bounded Nonlinear Functional Derived by the Generalized Srivastava-Owa Fractional Differential Operator

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  • Rabha W. Ibrahim

Abstract

By making use of the generalized Srivastava-Owa fractional differential operator, a class of analytical functions is imposed. The sharp bound for the nonlinear functional associated with the Hankel determinant is computed. We consider a new technique to prove our results. Important properties such as inclusion, subordination, and Hadamard product are studied. Some recent results are included.

Suggested Citation

  • Rabha W. Ibrahim, 2013. "Bounded Nonlinear Functional Derived by the Generalized Srivastava-Owa Fractional Differential Operator," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, January.
    • Handle: RePEc:hin:ijanal:542828
    DOI: 10.1155/2013/542828
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    References listed on IDEAS

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    1. Ying Yang & Yu-Qin Tao & Jin-Lin Liu, 2011. "Differential Subordinations for Certain Meromorphically Multivalent Functions Defined by Dziok-Srivastava Operator," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-9, June.
    2. A. K. Mishra & P. Gochhayat, 2008. "Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-10, March.
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