Journal article
Connection coefficients, orthogonal polynomials and the WZ-algorithms
Numerical algorithms, v 21(1-4), pp 377-386
01 Jan 1999
Abstract
In this paper we explore the relationship between the coefficients in the expansion of a function f(x) in orthogonal polynomials and the coefficients for the expansion of (1 - x)(m) f(x), with particular attention to the case of Jacobi polynomials. Such problems arise frequently in computational chemistry. The analysis of the situation is substantially assisted by the use of two of the so-called Wilf-Zeilberger algorithms: the algorithm zeil and the algorithm hyper. We explain these algorithms and give several examples.
Metrics
Details
- Title
- Connection coefficients, orthogonal polynomials and the WZ-algorithms
- Creators
- J Wimp - Drexel University
- Publication Details
- Numerical algorithms, v 21(1-4), pp 377-386
- Publisher
- BALTZER SCI PUBL BV
- Number of pages
- 10
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000082596400026
- Scopus ID
- 2-s2.0-0033471116
- Other Identifier
- 991019312358504721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied