PhD thesis
Moments of Classical Orthogonal Polynomials
Publication Details
Authors: | Njionou Sadjang, P. |
Publication year: | 2013 |
Pages range : | TBD |
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.
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.
Projects
- Institutspartnerschaft Kamerun (15.05.2008)
- Moments of Classical Orthogonal Polynomials (15.01.2010)
