Certain Subclass of Meromorphic β-starlike Functions Associated with a Differential Operator

Abstract

Sharp bounds for the Fekete-Szegö functional |ν_1-ξ〖ν_0〗^2 | are derived for certain class of meromorphic starlike functions ω(z) of order β defined on the punctured open unit disk for which 1-1/t ((D^(n+1˳m) ω(z))/(D^(n˳m) ω(z) )-1)≺χ(z) (t∈C-{0},η≥0,κ>0,n,m∈N_0), lie in a region starlike with respect to 1 and symmetric with respect to the real axis.