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On the class of functions strongly starlike of order α with respect to a point

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Lecko A.

Annales Polonici Mathematici

1998

tom 68

nr 2

107-117

We consider the class 𝓩(k;w), k ∈ [0,2], w ∈ ℂ, of plane domains Ω called k-starlike with respect to the point w. An analytic characterization of regular and univalent functions f such that f(U) is in 𝓩(k;w), where w ∈ f(U), is presented. In particular, for k = 0 we obtain the well known analytic condition for a function f to be starlike w.r.t. w, i.e. to be regular and univalent in U and have f(U) starlike w.r.t. w ∈ f(U).

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Lecko A.

1 1998

Wyniki wyszukiwania

On the class of functions strongly starlike of order α with respect to a point