Operations for D-Algebraic Functions

04/19/2023
by   Bertrand Teguia Tabuguia, et al.
0

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/OperationsForDAlgebraicFunctions.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset