Transfinite diameter on curves, Hankel determinants and the moment problem

Len Bos; Sione Ma'u

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Quadratic forms, fibre products and some plane curves with many points

Motoko Qiu Kawakita, Shinji Miura (2002)

Acta Arithmetica

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Localization of touching points for interpolation of discrete circles.

Kunkl, Roland (2008)

Annales Mathematicae et Informaticae

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Taylorian points of an algebraic curve and bivariate Hermite interpolation

Len Bos, Jean-Paul Calvi (2008)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We introduce and study the notion of Taylorian points of algebraic curves in $ℂ^{2}$ , which enables us to define intrinsic Taylor interpolation polynomials on curves. These polynomials in turn lead to the construction of a well-behaved Hermitian scheme on curves, of which we give several examples. We show that such Hermitian schemes can be collected to obtain Hermitian bivariate polynomial interpolation schemes.