Clemente Cesarano, Gerardo Maria Cennamo, Luca Placidi, "Operational Methods for Hermite Polynomials with Applications," WSEAS Transactions on Mathematics, vol. 13, pp. 925-931, 2014, DOI:
Clemente Cesarano, Gerardo Maria Cennamo, Luca Placidi. Operational Methods for Hermite Polynomials with Applications.
WSEAS Transactions on Mathematics. 2014;13:925-931.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Operational Methods for Hermite Polynomials with Applications
Authors: , ,
Abstract: We exploit methods of operational nature to derive a set of new identities involving families of polynomials associated with operators providing different realizations of the Weyl group. The identities, we will deal with, extend the Nielsen formulae, valid for ordinary Hermite to families of Hermite-like polynomials. It will also be shown that the underlying formalism yields the possibility of obtaining further identities relevant to multi-variable and multi-index polynomials. Applications of higher order Hermite polynomials have been underlined for purpose of numerical simulation in continuous damage mechanics.
Pages: 925-931 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #90 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
×
Citation Tools