A note on an asymptotic formula for integrals of products of Jacobi polynomials
Classical Analysis and ODEs
2020-10-22 v1
Abstract
We recast Byerly's formula for integrals of products of Legendre polynomials. Then we adopt the idea to the case of Jacobi polynomials. After that, we use the formula to derive an asymptotic formula for integrals of products of Jacobi polynomials. The asymptotic formula is similar to an analogous one recently obtained by the first author and Jeff Geronimo for a different case. Thus, it suggests that such an asymptotic behavior is rather generic for integrals of products of orthogonal polynomials.
Keywords
Cite
@article{arxiv.2010.10690,
title = {A note on an asymptotic formula for integrals of products of Jacobi polynomials},
author = {Maxim Derevyagin and Nicholas Juricic},
journal= {arXiv preprint arXiv:2010.10690},
year = {2020}
}
Comments
7 pages