Article

# A Subclass of Uniformly Convex Functions and a Corresponding Subclass of Starlike Functions with Fixed Second Coefficient Defined by Carlson and Shaffer …

International Mathematical Forum 01/2010; 5(37):1839-1848.

ABSTRACT The main objective of this paper is to obtain necessary and sufficient condition for a subclass of uniformly convex functions and correspond-ing subclass of starlike functions with fixed second coefficient defined by Carlson and Shaffer operator for the function f (z) in UCT (α, β). Furthermore, we obtain extreme points, distortion bounds and closure properties for f (z) in UCT (α, β) by fixing second coefficient.

0 Followers
·
• Source
##### Article: On the order of starlikeness of hypergeometric functions
Journal of Mathematical Analysis and Applications 01/1986; 113(1):1-11. DOI:10.1016/0022-247X(86)90329-X · 1.12 Impact Factor
• Source
##### Article: Uniformly Convex Functions and a Corresponding Class of Starlike Functions
Proceedings of the American Mathematical Society 05/1993; 118(1). DOI:10.2307/2160026 · 0.68 Impact Factor
• Source
##### Article: New Criteria for Univalent Functions
Proceedings of the American Mathematical Society 05/1975; 49(1):109-109. DOI:10.2307/2039801 · 0.68 Impact Factor