116 citations · 762 across the 46 of their papers we have counts for
4 papers · 2 filters
On Fourier integral transforms for -Fibonacci and -Lucas polynomials
Natig Atakishiyev, Pedro Franco, Decio Levi +1
We study in detail two families of -Fibonacci polynomials and -Lucas polynomials, which are defined by non-conventional three-term recurrences. They were recently introduced…
-symmetries and Jacobi Last Multiplier
M. C. Nucci, D. Levi
We show that -symmetries can be algorithmically obtained by using the Jacobi last multiplier. Several examples are provided.
Contact transformations for difference schemes
Decio Levi, Zora Thomova, Pavel Winternitz
We define a class of transformations of the dependent and independent variables in an ordinary difference scheme. The transformations leave the solution set of the system invariant…
Are there Contact Transformations for Discrete Equations?
Decio Levi, Zora Thomova, Pavel Winternitz
We define infinitesimal contact transformations for ordinary difference schemes as transformations that depend on lattice points and can be integrated to form a…