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- W4385628844 abstract "A function is differentially algebraic (or simply D-algebraic) if there is a polynomial relationship between some of its derivatives and the indeterminate variable. Many functions in the sciences, such as Mathieu functions, the Weierstrass elliptic functions, and holonomic or D-finite functions are D-algebraic. These functions form a field, and are closed under composition, taking functional inverse, and derivation. We present implementation for each underlying operation. We also give a systematic way for computing an algebraic differential equation from a linear differential equation with D-finite function coefficients. Each command is a feature of our Maple package NLDE available at https://mathrepo.mis.mpg.de/DAlgebraicFunctions/NLDEpackage." @default.
- W4385628844 created "2023-08-08" @default.
- W4385628844 creator A5002700077 @default.
- W4385628844 date "2023-06-01" @default.
- W4385628844 modified "2023-09-23" @default.
- W4385628844 title "Operations for D-Algebraic Functions" @default.
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- W4385628844 doi "https://doi.org/10.1145/3614408.3614415" @default.
- W4385628844 hasPublicationYear "2023" @default.
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