No abstract

No abstract

For α > −1 and β > 0, let B 0 H (α, β) denote the class of sense preserving harmonic mappingsFirst, we establish that each function belonging to this class is closeto-convex in the open unit disk if β ∈ (0, 1 + α]. Next, we obtain coefficient bounds, growth estimates and convolution properties. We end the paper with applications and will construct harmonic univalent polynomials belonging to this class.

For α > −1 and β > 0, let B 0 H (α,β ) denote the class of sense preserving harmonic mappingsFirst, we establish that each function belonging to this class is close-to-convex in the open unit disk if β ∈ (0,1 + α] . Next, we obtain coefficient bounds, growth estimates and convolution properties. We end the paper with applications and will construct harmonic univalent polynomials belonging to this class.

For α > −1 and β > 0, let B 0 H (α,β ) denote the class of sense preserving harmonic mappingsFirst, we establish that each function belonging to this class is close-to-convex in the open unit disk if β ∈ (0,1 + α] . Next, we obtain coefficient bounds, growth estimates and convolution properties. We end the paper with applications and will construct harmonic univalent polynomials belonging to this class.