k-Uniformly Convex Function Carlson-Shaffer Operator Fractional Derivative Subordination 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.
