A symbolic handling of Sheffer polynomials
โ Scribed by E. Di Nardo; H. Niederhausen; D. Senato
- Book ID
- 106299537
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 255 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0373-3114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Sheffer polynomials and the monomiality principle, along with the underlying operational formalism, offer a powerful tool for investigation of the properties of a wide class of polynomials. We present, within such a context, a self-contained theory of such familiar systems of polynomials as the
We prove a formula for the linearization coefficients of the general Sheffer polynomials, which unifies all the special known results for Hermite, Charlier, Laguerre, Meixner and Meixner-Pollaczek polynomials. Furthermore, we give a new and explicit real version of the corresponding formula for Meix