The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Certain convexity theorems for univalent analytic functions.”

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

Adam Lecko (1998)

Annales Polonici Mathematici

Similarity:

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).

A note on subordination.

Owa, Shigeyoshi (1986)

International Journal of Mathematics and Mathematical Sciences

Similarity: