On a subclass of analytic functions with negative coefficients involving the Owa-Srivastava fractional calculus operators (Q2581101)

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On a subclass of analytic functions with negative coefficients involving the Owa-Srivastava fractional calculus operators
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    On a subclass of analytic functions with negative coefficients involving the Owa-Srivastava fractional calculus operators (English)
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    12 January 2006
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    The author introduces a new subclass \(T(\alpha,\beta,\gamma)\) of analytic functions with negative coefficients which is defined by using the Owa-Srivastava fractional calculus operator \(\Omega^\lambda\) in the unit disc \(U\). The main object of the paper is to investigate coefficient estimate, distortion theorem and radii of star-likeness and convexity for analytic functions belonging to the above class. Furthermore, some inclusion properties of this class are also considered.
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    analytic functions
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    starlike functions
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    convex functions
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    fractional derivative
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    fractional integral
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