1.1k citations · 8.6k across the 89 of their papers we have counts for
92 papers
Truncated generalized coherent states
Filippo Giraldi, Francesco Mainardi
A generalization of the canonical coherent states of a quantum harmonic oscillator has been performed by requiring the conditions of normalizability, continuity in the label and re…
Kramers-Kronig relations and the analogy between electromagnetic and mechanical waves
J. Carcione, F. Mainardi, J. Ba +1
The important consequence of the Kramers-Kronig relations (KKrs) is that dissipative behavior in material media inevitably implies the existence of dispersion, i.e., a frequency de…
The tempered space-fractional Cattaneo equation
Luisa Beghin, Roberto Garra, Francesco Mainardi +1
We consider the time-fractional Cattaneo equation involving the tempered Caputo space-fractional derivative. We find the characteristic function of the related process and we expla…
A note on a modified fractional Maxwell model
Roberto Garra, Armando Consiglio, Francesco Mainardi
In this paper we consider a modified fractional Maxwell model based on the application of Hadamard-type fractional derivatives. The model is physically motivated by the fact that w…
Wright functions of the second kind and Whittaker functions
Francesco Mainardi, Richard B. Paris, Armando Consiglio
In the framework of higher transcendental functions the Wright functions of the second kind have increased their relevance resulting from their applications in probability theory a…
The Bateman Functions Revisited After 90 Years -- A Survey of Old and New Results
Alexander Apelblat, Armando Consiglio, Francesco Mainardi
The Bateman functions and the allied Havelock functions were introduced as solutions of some problems in hydrodynamics about ninety years ago, but after a period of one or two deca…