72 citations · 396 across the 74 of their papers we have counts for
4 papers · 1 filter
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…
Umbral Methods and Harmonic Numbers
Giuseppe Dattoli, Bruna Germano, Silvia Licciardi +1
The theory of harmonic based function is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the…
Motzkin Numbers: an Operational Point of View
Marcello Artioli, Giuseppe Dattoli, Silvia Licciardi +1
The Motzkin numbers can be derived as coefficients of hybrid polynomials. Such an identification allows the derivation of new identities for this family of numbers and offers a too…
Theory of Generalized Trigonometric Functions: from Laguerre to Airy Forms
Giuseppe Dattoli, Silvia Licciardi, Rosa Maria Pidatella
We develop a new point of view to introduce families of functions, which can be identified as generalization of the ordinary trigonometric or hyperbolic functions. They are defined…