The search for differential equations for orthogonal polynomials by using computers
Roelof Koekoek
Abstract
We look for spectral type differential equations for the generalized Jacobi polynomials found by T.H. Koornwinder in 1984 and for the Sobolev-Laguerre polynomials. We introduce a method which makes use of computeralgebra packages like Maple and Mathematica and we will give some preliminary results.
Create a lesson
Related papers
Characterizing higher-dimensional Hölder domains via spherical geometric functions
Emily Casey, Max Engelstein, Tatiana Toro
The second type of power mean bounds for the hypergeometric mean
Zhen-Hang Yang, Jing-Feng Tian
Spread-out Furstenberg sets II: general configurations and fractal restricted projections
Alex Cohen, Pablo Shmerkin, Hong Wang et al.
Spread-out Furstenberg sets I: the sticky case
Tuomas Orponen, Pablo Shmerkin
Hsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadrature
Vladimir G. Tkachev
Sharp power-weight estimates for the fractional spherical maximal operator
Riju Basak, Surjeet Singh Choudhary, Chun-Yen Shen et al.