It is shown that an appropriate combination of methods, relevant to generalized operational calculus and to special functions, can be a very useful tool to treat a large body of problems both in physics and mathematics. We discuss operational methods associated with multivariable Hermite, Laguerre, Legendre, and other polynomials to derive a wealth of identities useful in quantum mechanics, electromagnetism, optics, etc., or to derive new identities between special functions as, e.g., Mehler- or mixed-type generating functions. © 2000 Elsevier Science B.V.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
Dattoli, G. (2000). Generalized polynomials, operational identities and their applications. Journal of Computational and Applied Mathematics, 118(1-2), 111 - 123. https://doi.org/10.1016/S0377-0427(00)00283-1