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arXiv · 1609.01039

Some properties of associated spaces with sub-Hankel determinants

Hideyuki Ishi·Takeyoshi Kogiso
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Abstract

In this note, we show that the space associated with sub-Hankel determinant is a non-reductive, regular prehomogeneous vector space, and we give the multiplicative Legendre transforms of sub-Hankel determinants. Moreover we observe certain relations between $b$-functions of polarization of PVpolynomials and $b$-functions of sub-Hankel determinants, and give some formulas about sub-Hankel determinants whose components are orthogonal ponlynomials.

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Hideyuki Ishi, Takeyoshi Kogiso. 2016-09-05. Some properties of associated spaces with sub-Hankel determinants. https://arxiv.org/abs/1609.01039

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