Title
New extensions for classes of analytic functions associated with close-to-convex and starlike of order α
Abstract
Let A be the class of functions f(z) with f(0)=0 and f^'(0)=1 in the open unit disk U. For f(z)@?A, f(z) is said to be in the class A(@b"1,@b"2,@b"3;@l) if it satisfies |@b"1z(f(z)z)^'+@b"2z^2(f(z)z)^''+@b"3z^3(f(z)z)^@?|=0. Some interesting properties for f(z)@?A(@b"1,@b"2,@b"3;@l) associated with close-to-convex functions and starlike functions of order @a are discussed.
Year
DOI
Venue
2011
10.1016/j.mcm.2011.02.020
Mathematical and Computer Modelling
Keywords
Field
DocType
univalent,cauchy–schwarz inequality,new extension,analytic function,starlike of order α,close-to-convex of order α,analytic,open unit disk,interesting property,close-to-convex function,starlike function,cauchy schwarz inequality,satisfiability
Combinatorics,Mathematical analysis,Analytic function,Cauchy–Schwarz inequality,Regular polygon,Convex function,Unit disk,Mathematics
Journal
Volume
Issue
ISSN
54
1-2
Mathematical and Computer Modelling
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Neslihan Uyanik111.98
Shigeyoshi Owa23516.04