In the present paper a class of extended close-to-convex functions Qk,λ(α,β,ρ) defined by making use of Ruscheweyh derivatives is introduced and studied. We provide integral representations, distortion theorem, ra...In the present paper a class of extended close-to-convex functions Qk,λ(α,β,ρ) defined by making use of Ruscheweyh derivatives is introduced and studied. We provide integral representations, distortion theorem, radius of close-to-convexity and Hadamard product properties for this class.展开更多
基金the Natural Science Foundation of Inner Mongolia (No.2009MS0113)Higher School Research Foundation of Inner Mongolia (No.NJzy08510)
文摘In the present paper a class of extended close-to-convex functions Qk,λ(α,β,ρ) defined by making use of Ruscheweyh derivatives is introduced and studied. We provide integral representations, distortion theorem, radius of close-to-convexity and Hadamard product properties for this class.