On the Largest Disc Mapped by Sum of Convex and Starlike Functions
For a normalized analytic function f defined on the unit disc 𝔻, let ϕ(f,f′,f′′;z) be a function of positive real part in 𝔻, ψ(f,f′,f′′;z) need not have that property in 𝔻, and χ=ϕ+ψ. For certain choices of ϕ and ψ, a sharp radius constant ρ is determined, 0<ρ<1, so that χ(ρz)/ρ maps 𝔻 onto a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/682413 |