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 Uyanik | 1 | 1 | 1.98 |
Shigeyoshi Owa | 2 | 35 | 16.04 |