2024/12/10 by Rabia Aktaş Karaman, Karaman, Rabia Aktaş, Iván Area +1 · 1 citation
Mathematics · Engineering · #Differential Equations and Boundary Problems #Elasticity and Wave Propagation #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.2412.07869
The purpose of this paper is to obtain Fourier transforms of multivariate orthogonal polynomials on the cone such as Laguerre polynomials on the cone and Jacobi polynomials on the cone and to define two new families of multivariate orthogonal functions by using Parseval's identity. Also, the obtained results are expressed in terms of the continuous Hahn polynomials.