Title
On symbolic integration of algebraic functions
Abstract
Algorithms for integration of the algebraic functions implemented in modern computer algebra systems (CAS) are not always able to solve the classical problems of integration in the class of algebraic or elementary functions. The most general approach to describing the integral of an algebraic function is to find a standard representation for Abelian integrals, which, on the one hand, would not be too cumbersome, and on the other hand, would allow us to immediately answer a number of questions about the integral. For such a representation, we propose to use the representation of the Abelian integral by a linear combination of integrals of three kinds presented in the Lectures of Weierstrass.
Year
DOI
Venue
2021
10.1016/j.jsc.2020.09.002
Journal of Symbolic Computation
Keywords
DocType
Volume
Abelian integral,Elementary functions,Symbolic integration,Computer algebra
Journal
104
ISSN
Citations 
PageRank 
0747-7171
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Mikhail D. Malykh101.35
Leonid A. Sevastyanov200.34
Ying Yu300.34