[Merged by Bors] - feat(Algebra/MvPolynomial/PDeriv): a coefficient formula for pderiv#39624
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PR summary 85e531ad7fImport changes for modified filesNo significant changes to the import graph Import changes for all files
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#39626) Previously, we had formal derivatives for `PowerSeries` and `Polynomial` and formal partial derivatives for `MvPolynomial`, but no formal partial derivatives for `MvPowerSeries`. This PR adds them. Furthermore, `PowerSeries.derivative` is refactored to be defined in terms of `MvPowerSeries.pderiv`, which reduces code duplication (In particular, there is no need to define the bare function `PowerSeries.derivativeFun` anymore). Most proofs are direct generalizations from the univariate case. I only had to add a few missing API lemmas, which I am PR'ing separately below: - [x] depends on: #39623 - [x] depends on: #39624 - [x] depends on: #39625
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This formula is useful for defining partial derivatives of multivariate power series, see PR #39626.