Dual and triple sequence equations involving orthogonal polynomials
β Scribed by Mourad El-Houssieny Ismail
- Publisher
- Elsevier Science
- Year
- 1975
- Weight
- 243 KB
- Volume
- 78
- Category
- Article
- ISSN
- 1385-7258
No coin nor oath required. For personal study only.
β¦ Synopsis
We extend certain results of Richard Askey concerning dual sequence equations involving Jacobi and Laguerre polynomials to dual and triple sequence equations involving general orthogonal polynomials.
We approach the problem via the polynomial expansions of Fields and Wimp, and Fields and Ismail.
π SIMILAR VOLUMES
In 1929, S. Bochner identified the families of polynomials which are eigenfunctions of a second-order linear differential operator. What is the appropriate generalization of this result to bivariate polynomials? One approach, due to Krall and Sheffer in 1967 and pursued by others, is to determine wh