For <TEX>fᵢ</TEX> belonging to various subclasses of univalent functions, we investigate the product given by <TEX>h(z)=z∏ᵢ₌₁ⁿ(fᵢ(z)/z)^γᵢ</TEX>.The largest radius <TEX>ρ</TEX> is determined such that <TEX>h(ρz)/ρ</TEX> is starlike of order <TEX>β</TEX>, <TEX>0≤β</TEX> < 1 or to belong to other subclasses of univalent functions. We also determine the sharp radius of starlikeness of order <TEX>β</TEX>and other radius for the convolution f*g of two starlike functions f, g.
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Jain et al. (2016) studied this question.
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