5 papers
Unveiling new perspectives of hypergeometric functions using umbral techniques
Giuseppe Dattoli, Mehnaz Haneef, Subuhi Khan +1
The umbral restyling of hypergeometric functions is shown to be a useful and efficient approach in simplifying the associated computational technicalities. In this article, the aut…
An operational point of view to the theory of multi-variable/multi-index Hermite polynomials
Giuseppe Dattoli, Silvia Licciardi, Elio Sabia
The use of algebraic tools of operational and umbral nature is exploited to develop a new point of view and to extend the theory of Hermite polynomials, with more than one variable…
Hermite, Higher order Hermite, Laguerre type polynomials and Burgers like equations
Giuseppe Dattoli, Roberto Garra, Silvia Licciardi
The multivariable version of ordinary and generalized Hermite polynomials are the natural solutions of the classical heat equation and of its higher order versions. We derive the a…
On an Umbral point of view to the Gaussian and Gaussian like functions
Giuseppe Dattoli, Emanuele Di Palma, Silvia Licciardi
In this note we review the theory of Gaussian functions by exploiting a point of view based on symbolic methods of umbral nature. We introduce quasi-Gaussian functions, which are c…
Capillary Network, Cancer and Kleiber Law
G. Dattoli, S. Licciardi, C. Guiot +1
We develop a heuristic model embedding Kleiber and Murray laws to describe mass growth, metastasis and vascularization in cancer. We analyze the relevant dynamics using different e…