On the solutions of linear ordinary differential equations and Bessel-type special functions on the Levi-Civita field

DOI10.3103/S1068362315020016zbMath1339.26077OpenAlexW2023689937MaRDI QIDQ260276

Alpár Richárd Mészáros, Khodr Shamseddine

Publication date: 21 March 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362315020016

zbMATH Keywords

ordinary differential equationsBessel-type special functionsgeneralized Bessel functions of the first kindLevi-Civita field

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) (C^infty)-functions, quasi-analytic functions (26E10)

Related Items (5)

Generalized power series on a non-Archimedean field ⋮ The implicit function theorem in a non-Archimedean setting ⋮ Constrained second order optimization on non-archimedean fields ⋮ A transfer principle for the continuations of real functions to the Levi-Civita field ⋮ Spaces of measurable functions on the Levi-Civita field

Cites Work

• Analytical properties of power series on Levi-Civita fields
• On the topological structure of the Levi-Civita field
• Generalized Bessel functions of the first kind
• Fields: Algebraically closed and others
• New results on integration on the Levi-Civita field
• Advances in Ultrametric Analysis
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