On a Simple Sufficient Condition for the Uniform Starlikeness

Agnieszka Wiśniowska-Wajnryb1
1Faculty of Mathematics and Applied Physics, Rzeszów University of Technology, Rzeszów, Poland

Tóm tắt

AbstractThe aim of this paper is to prove the theorem which generates many examples of functions belonging to a geometrically defined class of uniformly starlike functions introduced by Goodman in 1991. Only a very few explicit uniformly starlike functions were known until now. Next we obtain inclusion relations between some subclasses of convex functions and the class of uniformly starlike functions.

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