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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 transforms...
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