Generalized power series on a non-Archimedean field

DOI10.1016/S0019-3577(06)80044-3zbMath1142.12005MaRDI QIDQ855794

Khodr Shamseddine, Martin Berz

Publication date: 7 December 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Non-Archimedean valued fields (12J25) Non-Archimedean analysis (26E30)

Related Items (4)

The implicit function theorem in a non-Archimedean setting ⋮ On the topological structure of the Levi-Civita field ⋮ One-variable and multi-variable calculus on a non-Archimedean field extension of the real numbers ⋮ Local variability of non-smooth functions

Cites Work

• On the solutions of linear ordinary differential equations and Bessel-type special functions on the Levi-Civita field
• Analytical properties of power series on Levi-Civita fields
• Fields: Algebraically closed and others
• Intermediate values and inverse functions on non-Archimedean fields
• Modell einer Leibnizschen Differentialrechnung mit aktual unendlich kleinen Grössen sämtlicher Ordnungen
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