Exponential series in ring extensions of Q#1996
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Built on top of #1995
This PR introduces the exponential series in ring extensions of the rational numbers.
The sequence of coefficients is given by
n ↦ 1/n!and for anyx, the sequence of terms of the exponential series atxisexp(x) : n ↦ xⁿ/n!.The sequence of coefficients of the exponential series satisfy the two following
conditions:
exp(0) = 1, where1is the unit of the convolution product;x , y ∈ Rcommute, thenexp(x + y) = exp(x) ⋆ exp(y)where⋆denotes the convolution product.