Title
Numerical Integration with Complex Jacobi Weight Function
Abstract
In this paper we study the numerical integration on ( − 1,1) with respect to the Jacobi weight function (1 − x) α (1 + x) β , where α and β are complex parameters. The problem arises in some applications of computational models in quantum mechanics. We discuss two methods for integration. One is suitable for integration of analytic functions and the other is applicable to the general Riemann integrable functions.
Year
DOI
Venue
2008
10.1007/978-3-642-00464-3_3
NAA
Keywords
Field
DocType
complex parameter,quantum mechanic,analytic function,numerical integration,general riemann integrable function,complex jacobi weight function,computational model,jacobi weight function,quantum mechanics,weight function,computer model
Weight function,Jacobi operator,Numerical integration,Analytic function,Integration by reduction formulae,Pure mathematics,Jacobi polynomials,Complex-valued function,Gaussian quadrature,Mathematics
Conference
Volume
ISSN
Citations 
5434
0302-9743
0
PageRank 
References 
Authors
0.34
4
2
Name
Order
Citations
PageRank
Gradimir V. Milovanović14511.62
Aleksandar S. Cvetković2194.62