21 citations · 23 across the 3 of their papers we have counts for
3 papers
math-ph2009★ 1 cited
Special polynomials and elliptic integrals
D. Babusci, G. Dattoli
We show that the use of generalized multivariable forms of Hermite polynomials provide an useful tool for the evaluation of families of elliptic type integrals often encountered in…
math-ph2007★ 21 cited
Heisenberg Algebra, Umbral Calculus and Orthogonal Polynomials
G. Dattoli, D. Levi, P. Winternitz
Umbral calculus can be viewed as an abstract theory of the Heisenberg commutation relation . In ordinary quantum mechanics is the derivative and $\hat M…
nlin.SI2006★ 1 cited
Heat Polynomials, Umbral Correspondence and Burgers Equations
G. Dattoli, D. Levi
We show that the umbral correspondence between differential equations can be achieved by means of a suitable transformation preserving the algebraic structure of the problems. We p…