Computer-assisted reduction of second order linear differential equations (Q1202240)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Computer-assisted reduction of second order linear differential equations |
scientific article; zbMATH DE number 108719
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computer-assisted reduction of second order linear differential equations |
scientific article; zbMATH DE number 108719 |
Statements
Computer-assisted reduction of second order linear differential equations (English)
0 references
25 February 1993
0 references
In order to explore the possibilities of representing its solutions in terms of special functions, and using factorization techniques, a process is defined to decide whether a second order linear differential equation with polynomial coefficients can be brought to the hypergeometric or the confluent hypergeometric equation by a rational change of variable. In the first case, an upper bound has to be provided for the degree of the numerator of the rational function which defines the change of variable.
0 references
reduction
0 references
special functions
0 references
factorization techniques
0 references
second order linear differential equation with polynomial coefficients
0 references
hypergeometric or the confluent hypergeometric equation
0 references
rational change of variable
0 references
