On the Largest Disc Mapped by Sum of Convex and Starlike Functions

Rosihan M. Ali, Naveen Kumar Jain and V. Ravichandran

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:682413

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