Orthogonality of Jacobi polynomials with general parameters

Details Orthogonality of Jacobi polynomials with general parameters Orthogonality of Jacobi polynomials with general parameters

2003-01-06

arxiv.org/abs/math/0301037v1

Electronic Transactions on Numerical Analysis 19 (2005), 1-17

Mathematics

Classical Analysis and ODEs

16 pages, 4 figures

Scientific paper

In this paper we study the orthogonality conditions satisfied by Jacobi polynomials $P_n^{(\alpha,\beta)}$ when the parameters $\alpha$ and $\beta$ are not necessarily $>-1$. We establish orthogonality on a generic closed contour on a Riemann surface. Depending on the parameters, this leads to either full orthogonality conditions on a single contour in the plane, or to multiple orthogonality conditions on a number of contours in the plane. In all cases we show that the orthogonality conditions characterize the Jacobi polynomial $P_n^{(\alpha, \beta)}$ of degree $n$ up to a constant factor.

Affiliated with

Also associated with

No associations

Rating

Orthogonality of Jacobi polynomials with general parameters does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Orthogonality of Jacobi polynomials with general parameters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orthogonality of Jacobi polynomials with general parameters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386262