scientific article

zbMath0518.12016MaRDI QIDQ3666976

Yasutaka Sibuya, Steven I. Sperber

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

linear differential operatorsHurwitz theoremClark theoremADEEisenstein theoremindicial polynomialsexistence theorem of Lutzfactorization of linear differential operatorsHensel-type lemmaimplicit function theorem in p-adic analysisMahler p-adic estimatesp-adic Cauchy-Kowalevsky theoremp-adic Newton iteration procedurep-adic non- Liouville numberspower series solution of nonlinear differential equationrationality criterionrecursion formulae for coefficients

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear differential equations in abstract spaces (34G10) (p)-adic differential equations (12H25) Abstract differential equations (12H20) Research exposition (monographs, survey articles) pertaining to field theory (12-02)

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On integrality properties of hypergeometric series

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