Solutions of Linear Differential Equations in Function Fields of One Variable

DOI10.2307/2040752zbMath0318.12106OpenAlexW4235189172MaRDI QIDQ4079708

Michael F. Singer

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2040752

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Differential algebra (12H05) Differential equations in abstract spaces (34G99) Power series rings (13J05)

Related Items (8)

Comments on Rosenlicht’s Integration in Finite Terms ⋮ Elementary and Liouvillian solutions of linear differential equations ⋮ Differential and difference algebra ⋮ Invariant valuations for differential Galois group action. ⋮ Liouvillian First Integrals of Differential Equations ⋮ Differential subfields of Liouvillian extensions ⋮ De l'application des méthodes valuatives en algèbre différentielle ⋮ Valuations and differential Galois groups

Cites Work

• Unnamed Item
• On the explicit solvability of certain transcendental equations
• Solutions of First Order Differential Equations which are Solutions of Linear Differential Equations of Higher Order
• An Analogue of L'Hospital's Rule
• Transcendental Numbers. (AM-16)

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