Let G be univalent in the unit disc Δ. Let . C2×Δ→C be analytic in a domain DCC and let p(z) be analytic in Δ with (p(z), zp'(z);z)∈D when z∈Δ . Assume that p(z) satisfies the differential subordinatio...Let G be univalent in the unit disc Δ. Let . C2×Δ→C be analytic in a domain DCC and let p(z) be analytic in Δ with (p(z), zp'(z);z)∈D when z∈Δ . Assume that p(z) satisfies the differential subordination(p(z), zp'(z). z) G(z), z∈A ,(where denotes subordination). We determine some conditions on and G so that Rep(z)>ρ in Δ and give some applications of these resullts .展开更多
文摘Let G be univalent in the unit disc Δ. Let . C2×Δ→C be analytic in a domain DCC and let p(z) be analytic in Δ with (p(z), zp'(z);z)∈D when z∈Δ . Assume that p(z) satisfies the differential subordination(p(z), zp'(z). z) G(z), z∈A ,(where denotes subordination). We determine some conditions on and G so that Rep(z)>ρ in Δ and give some applications of these resullts .
