Logarithmic derivatives of solutions to linear differential equations

DOI10.1090/S0002-9939-04-07444-1zbMath1046.12005arXivmath/0309124OpenAlexW1608339288MaRDI QIDQ4813688

Christopher J. Hillar

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309124

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Differential algebra (12H05) Abstract differential equations (12H20) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Cites Work

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• The reciprocals of solutions of linear ordinary differential equations
• On solutions of differential equations which satisfy certain algebraic relations
• Gröbner deformations of hypergeometric differential equations
• The nth Roots of Solutions of Linear Ordinary Differential Equations
• Algebraic Relations Among Solutions of Linear Differential Equations

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