Weakly starlike meromorphic univalent functions. II

Source abstract

A function f ( z ) f(z) is said to be meromorphic weakly starlike if it has the form f ( z ) = − ρ z F ( Z ) / ( z − ρ ) ( 1 − ρ z ) f(z) = - \rho zF(Z)/(z - \rho )(1 - \rho z) for 0 > ρ > 1 0 > \rho > 1 where F ( z ) F(z) is a member of Σ ∗ {\Sigma ^\ast } , the class of meromorphic, normalized starlike univalent functions. The coefficients of the power series expansion in | z | > ρ |z| > \rho of a meromorphic weakly starlike function are studied. The integral means of such functions are also discussed.