The d-symmetric classical d-orthogonal polynomials are an extension of the standard symmetric classical polynomials according to the Hahn property. In this work, we give some characteristic properties for these polynomials related to generating functions and recurrence-differential equations. As app
โฆ LIBER โฆ
Symmetric systems of orthogonal polynomials
โ Scribed by Josef Meixner
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 264 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0003-9527
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Using a similarity transformation that maps the Calogero model into N decoupled quantum harmonic oscillators, we construct a set of mutually commuting conserved operators of the model and their simultaneous eigenfunctions.The simultaneous eigenfunction is a deformation of the symmetrized number stat