PROPERTIES OF CERTAIN p-VALENTLY CONVEX FUNCTIONS
نویسنده
چکیده
for some α (0 α< 1). We denote by p(α) the subclass of p consisting of functions which are p-valently convex of order α in U. In particular, we denote 1(0)= . A function f(z)∈ 1 is said to be uniformly convex inU if f(z) is in the class and has the property that the image arc f(γ) is convex for every circular arc γ contained in U with center at t ∈ U. We also denote by the subclass of 1 consisting of all uniformly convex functions in U. Goodman [2] has introduced the class and given that f(z)∈ 1 belongs to the class if and only if
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Neighborhood properties of certain classes of multivalently analytic functions associated with the convolution structure
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