Posts Tagged ‘partial derivatives’

The Hasse derivative, part II: Multivariate partial Hasse derivatives.

friday, october 2nd, 2009

Following a suggestion by A. Maevskiy, we show how the Hasse derivative can be extended to partial Hasse derivative in arbitrary multivariate polynomial rings. We show multivariate versions of Taylor’s Formula, of the Identity Theorem, and of the Generalized Leibnitz Rule.