12 citations · 30 across the 6 of their papers we have counts for
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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…
The Wright functions of the second kind in Mathematical Physics
Francesco Mainardi, Armando Consiglio
In this review paper we stress the importance of the higher transcendental Wright functions of the second kind in the framework of Mathematical Physics.We first start with the anal…
The Pioneers of the Mittag-Leffler Functions in Dielectrical and Mechanical Relaxation Processes
Francesco Mainardi, Armando Consiglio
We start with a short survey of the basic properties of the Mittag-Leffler functions. Then we focus on the key role of these functions to explain the after-effects and relaxation p…
On the Evolution of Fractional Diffusive Waves
Armando Consiglio, Francesco Mainardi
In physics, phenomena of diffusion and wave propagation have great relevance; these physical processes are governed in the simplest cases by partial differential equations of order…