Geodesic
Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
Fractional calculus and applied analysis, Tome 9 (2006) no. 4, pp. 323-331.

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By making use of the fractional differential operator Ω^λz (0 ≤ λ 1) due to Owa and Srivastava, a new subclass of univalent functions denoted by k−SPλ (0 ≤ k ∞) is introduced. The class k−SPλ unifies the concepts of k-uniformly convex functions and k-starlike functions. Certain basic properties of k − SPλ such as inclusion theorem, subordination theorem, growth theorem and class preserving transforms are studied.
Keywords: k-Uniformly Convex Function, Carlson-Shaffer Operator, Fractional Derivative, Subordination, Hadamard Product 
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Mishra, A. K.; Gochhayat, P. Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions. Fractional calculus and applied analysis, Tome 9 (2006) no. 4, pp. 323-331. http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a0/