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A symbolic handling of Sheffer polynomials

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


Sheffer polynomials, monomiality princip
โœ G. Dattoli; M. Migliorati; H.M. Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 201 KB

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

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โœ Dongsu Kim; Jiang Zeng ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 341 KB

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