New classes of $k$-uniformly convex and starlike functions
نویسندگان
چکیده
منابع مشابه
Classes of uniformly starlike and convex functions
Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated. 1. Introduction. Let A denote the class of functions of the form f (z) = z+ ∞ n=2 a n z
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For a constant k ∈ [0,∞) a normalized function f , analytic in the unit disk, is said to be k-uniformly convex if Re (1 + zf ′′(z)/f ′(z)) > k|zf ′′(z)/f ′(z)| at any point in the unit disk. The class of k-uniformly convex functions is denoted k-UCV (cf. [4]). The function g is said to be k-starlike if g(z) = zf ′(z) and f ∈ k-UCV. For analytic functions f, g, where f(z) = z + a2z + · · · and g...
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2004
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.35.2004.207