4 papers
A novel advancement in the study of Appell polynomials via Padè rational approximants
Giuseppe Dattoli, Subuhi Khan, Ujair Ahmad
The use of approximants of Padè type are employed to develop a method aimed at opening new perspectives in the theory of Appell polynomials , specified by the generating fu…
Higher-order Hermite numbers: Properties and applications to evolution problems
Giuseppe Dattoli, Subuhi Khan, Ujair Ahmad
The operational calculus associated with Hermite numbers has been shown to be an effective tool for simplifying the study of special functions. Within this context, Hermite polynom…
Nearly cosine series and generalized trigonometric functions
A. Curcio, G. Dattoli, E. Di Palma +2
A class of overlooked trigonometric-like functions is explored in this article, along with the relevant applications in applications. We show indeed that Taylor series, resembling…
A note on exact results for Burgers-like equations involving Laguerre derivatives
Giuseppe Dattoli, Riccardo Droghei, Roberto Garra
In this note, we consider some Burgers-like equations involving Laguerre derivatives and demonstrate that it is possible to construct specific exact solutions using separation of v…