without external funding
Moments of Classical Orthogonal Polynomials
Project Details
Project duration: 01/2010–12/2013
Abstract
In this work simple formulas for the moments for all families of classical orthogonal polynomials of the Askey-Wilson scheme (Koekoek, Lesky and Swarttouw: Hypergeometric orthogonal polynomials and their q-analogues, Springer, Berlin, 2010) are developed. Furthermore, the generating functions or exponential generating functions for those moments are given. In order to obtain those moments, we have stated the inversion formulas for all those families, also, we have developed many connection formulas between specific polynomial bases.
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