Recursion Formulas for Integrated Products of Jacobi Polynomials

• DOI: 10.1007/s00365-023-09655-z
• Publication Date: 2023-05-27T18:01:26Z
• Authors: Sven Beuchler; Tim Haubold; Veronika Pillwein
• Keywords: Recurrence relation

Abstract From the literature it is known that orthogonal polynomials as Jacobi can be expressed by hypergeometric series. In this paper, authors derive several contiguous relations for terminating multivariate With these one prove recursion formulas of those This theoretical result allows to compute integrals over products in a very efficient recursive way. Moreover, present an application numerical analysis where used algorithms which approximate solution boundary value problem partial differential equations means finite elements method. aid relations, computed much faster than using integration. A example illustrates effect.