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Title: Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
Authors: Mishra, A. K.
Gochhayat, P.
Keywords: k-Uniformly Convex Function
Carlson-Shaffer Operator
Fractional Derivative
Hadamard Product
Issue Date: 2006
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 4, (2006), 323p-331p
Abstract: 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.
Description: 2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15
ISSN: 1311-0454
Appears in Collections:2006

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