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- W2034211888 abstract "For γ⩾0 and β<1 given, let Pγ(β) denote the class of all analytic functions f in the unit disk with the normalization f(0)=f′(0)−1=0 and satisfying the conditionRe{eiϕ(f′(z)+γzf″(z)−β)}>0,z∈D, for some ϕ∈R. We shall investigate the integral transformVλ(f)(z)=∫01λ(t)f(tz)tdt, where λ is a nonnegative real valued function normalized by ∫01λ(t)dt=1. From our main results we get conditions on the number β and the function λ such that Vλ(f) is starlike of order μ (0⩽μ⩽1/2) when f∈Pγ(β). As applications we study various choices of λ(t), related to classical integral transforms." @default.
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- W2034211888 date "2007-12-01" @default.
- W2034211888 modified "2023-09-26" @default.
- W2034211888 title "On extremal problems related to integral transforms of a class of analytic functions" @default.
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- W2034211888 doi "https://doi.org/10.1016/j.jmaa.2007.02.076" @default.
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