On symbolic integration of algebraic functions

DOI10.1016/j.jsc.2020.09.002OpenAlexW3085146957MaRDI QIDQ2229735

Yanyan Li

Publication date: 18 February 2021

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2020.09.002

zbMATH Keywords

computer algebrasymbolic integrationelementary functionsabelian integral

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Explicit solutions, first integrals of ordinary differential equations (34A05) Differential algebra (12H05) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

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• Multiplicity of invariant algebraic curves in polynomial vector fields
• Symbolic integration I: Transcendental functions
• An algorithm for computing an integral basis in an algebraic function field
• A note on Gröbner bases and integration of rational functions
• On explicit difference schemes for autonomous systems of differential equations on manifolds
• Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time
• Algebraic General Solutions of First Order Algebraic ODEs
• Algebraic general solutions of algebraic ordinary differential equations
• Integration of algebraic functions
• Symbolic integration

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