Cusp summations and cusp relations of simple quad lenses

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Cusp algebras

By a cusp V we shall mean the image of the unit disk D under a bounded injective holomorphic map h into C whose derivative vanishes at exactly one point. The simplest example is the Neil parabola, given by h(ζ) = (ζ, ζ). See [3, 4] for background and theory on the Neil parabola, which is pictured in Figure 1. A generalization of a cusp is a petal. A petal is the image of the unit disk D under a...

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ژورنال

عنوان ژورنال: Monthly Notices of the Royal Astronomical Society

سال: 2015

ISSN: 1365-2966,0035-8711

DOI: 10.1093/mnras/stv277