Mickael Matusinski

activity

20092023

most citedThe exponential-logarithmic equivalence classes of surreal numbers

15 citations · 74 across the 12 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.AC2009★ 12 cited

Hardy type derivations on generalized series fields

Salma Kuhlmann, Mickael Matusinski

We consider the valued field $\mathds{K}:=\mathbb{R}((Γ))$ of generalized series (with real coefficients and monomials in a totally ordered multiplicative group $Γ$ ). We investigat…

math.CA2009

Differential Puiseux theorem in generalized series fields of finite rank

Mickael Matusinski

We study differential equations $F (y, ..., y^{(n)}) = 0$ where $F (Y_{0}, ..., Y_{n})$ is a formal series in $Y_{0}, ..., Y_{n}$ with coefficients in some field of \emph{generalized power series} $…