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arxiv: 1609.07893 · v1 · pith:7A4OB7KHnew · submitted 2016-09-26 · 🧮 math.CV

An extension of Borel-Laplace methods and monomial summability

classification 🧮 math.CV
keywords monomialsummabilityborel-laplacewillapplycharacterizeddependingdifferential
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In this paper we will show that monomial summability can be characterized using Borel-Laplace like integral transformations depending of a parameter $0<s<1$. We will apply this result to prove 1-summability in a monomial of formal solutions of a family of partial differential equations.

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