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Sufficient Conditions for Starlikeness and Strong-starlikeness of a Given Order

Complex Variables, Theory and Application: An International Journal, 2003
We find sharp upper bounds for $ \vert \,f^{\prime \prime }(z)/f^{\prime }(z) \vert $ such that the function f be starlike or strongly-starlike of a given order, where f is holomorphic in the unit disc U , with $ f(0)=f^{\prime }(0)-1=0 $ . These bounds are obtained by using the differential subordination technique. As a useful ingredient we obtain the
Petru T. Mocanu   +2 more
openaire   +2 more sources

A Criterion for Starlikeness

Mathematische Nachrichten, 1989
Shigeyoshi Owa, Milutin Obradović
openaire   +2 more sources

Starlike Graphs

The American Mathematical Monthly, 1967
Gary Chartrand, S. F. Kapoor
openaire   +1 more source

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