Inversion formulas involving orthogonal polynomials and some of their applications
Roelof Koekoek
Abstract
We derive inversion formulas involving orthogonal polynomials which can be used to find coefficients of differential equations satisfied by certain generalizations of the classical orthogonal polynomials. As an example we consider special symmetric generalizations of the Hermite polynomials.
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.