On classes of functions in the unit disk.

Ibrahim, Rabha W.; Darus, Maslina

Displaying similar documents to “On classes of functions in the unit disk.”

Differential sandwich theorems for some subclasses of analytic functions involving a linear operator.

Shammugam, T.N., Ramachandran, C., Darus, M., Sivasubramanian, S. (2007)

Acta Mathematica Universitatis Comenianae. New Series

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A Note on Univalent Functions with Finitely many Coefficients

Darus, M., Ibrahim, R. (2010)

Fractional Calculus and Applied Analysis

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MSC 2010: 30C45 The main object of this article is to introduce sufficient conditions of univalency for a class of analytic functions with finitely many coefficients defined by approximate functions due to Suffridge on the unit disk of the complex plane whose image is saddle-shaped. Sandwich theorem is also discussed.

Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions

Mishra, A. K., Gochhayat, P. (2006)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15 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...