Paper Info
Title
Polynomial solution of recurrence relation and differential equation
Abstract
We propose a REDUCE implementation of the SHORE compatibility criterion between recurrence relation and second order linear homogenous differential equation both satisfied by orthogonal polynomials. We discuss some different strategies developed around the symbolic matrix triangularization in the light of meaningful classical and semi-classical cases.
Year
DOI
Venue
1988
10.1145/54151.54152
ACM SIGSAM Bulletin
Keywords
Field
DocType
symbolic matrix triangularization,orthogonal polynomial,different strategy,differential equation,shore compatibility criterion,reduce implementation,semi-classical case,polynomial solution,recurrence relation,order linear homogenous differential,satisfiability,second order
Discrete mathematics,Differential equation,Combinatorics,Polynomial,Orthogonal polynomials,Orthogonal collocation,Recurrence relation,Matrix (mathematics),First-order partial differential equation,Chebyshev equation,Mathematics
Journal
Volume
Issue
Citations 
22
4
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
A. RONVEAUX1249.81
G. Thiry200.68