Now showing items 1-7 of 7

• #### Close-to-convex functions defined by fractional operator ﻿

(2013)
Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ C||z| < 1}. Consider the subclass and S∗ of S, which are the classes of convex and starlike functions, ...

(2007)
• #### Multivalued Sakaguchi functions ﻿

(2007)
Let A be the class of functions f(z) of the form f(z) = z +a2z2 + ··· which are analytic in the open unit disc U = {z ∈ C||z| < 1}. In 1959 , K. Sakaguchi has considered the subclass of A consisting of those f(z) ...
• #### Multivalued starlike functions of complex order ﻿

(2008)
Let Aα be the class of functions f(z) = z α (z + a2z 2 + · · ·) which are analytic in the open unit disc U. For f(z) ∈ Aα using the fractional calculus, a subclass S ∗ α (1−b) which is the class of starlike functions ...
• #### On Janowski starlike functions ﻿

(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2007)
For analytic functions f(z) in the open unit disc U with f(0) = 0 and f'(0) = 1, applying the fractional calculus for f(z), a new fractional operator D-lambda f(z) is introduced. Further, a new subclass F-lambda(*)(A, B) ...

(2007)
• #### Two points-distortion theorems for multivalued starlike functions ﻿

(2008)
Let A be the class of analytic functions f(z) in the open unit disc U with f(0) = 0 and f (0) = 1. Applying the fractional calculus for f(z) ∈ A, the fractional operator Dλf(z) is defined. Further, a new subclass S∗ λ ...