34 citations · 54 across the 5 of their papers we have counts for
7 papers
On the application of Mittag-Leffler functions to hyperbolic-type decay of luminescence
Ambra Lattanzi, Giampietro Casasanta, Roberto Garra
In 1861, Becquerel analyzed the time-resolved luminescence and formulated an empirical hyperbolic-type decay function, which was later named Becquerel decay law. Since then, studie…
Physics and Mathematics of the Photoluminescence of Complex Systems
Ambra Lattanzi, Giuseppe Dattoli, Giuseppe Baldacchini
The photoluminescence (PL) of thermally evaporated Alq3 thin films has been studied in a few samples annealed and non-annealed and afterwards exposed to the laboratory atmosphere f…
Dual Numbers and Operational Umbral Methods
Nicolas Behr, Giuseppe Dattoli, Ambra Lattanzi +1
Dual numbers and their higher order version are important tools for numerical computations, and in particular for finite difference calculus. Based upon the relevant algebraic rule…
Operator Ordering and Solution of Pseudo-Evolutionary Equations
Nicolas Behr, Giuseppe Dattoli, Ambra Lattanzi
The solution of pseudo initial value differential equations, either ordinary or partial (including those of fractional nature), requires the development of adequate analytical meth…
On the complete monotonicity of the three parameter generalized Mittag-Leffler function
K. Górska, A. Horzela, A. Lattanzi +1
Using the Bernstein theorem we give a simple proof of the complete monotonicity of the three parameter generalized Mittag-Leffler function for and suita…
Composition law for the Cole-Cole relaxation and ensuing evolution equations
K. Górska, A. Horzela, A. Lattanzi
Physically natural assumption says that the any relaxation process taking place in the time interval , may be represented as a composition of pr…
Mittag-Leffler function and fractional differential equations
K. Górska, A. Lattanzi, G. Dattoli
We adopt a procedure of operational-umbral type to solve the -dimensional fractional Fokker-Planck equation in which time fractional derivative of order () is…