3 papers
math.CA2020
Umbral-Algebraic Methods and Asymptotic Properties of Special Polynomials
G. Dattoli, S. Licciardi, R. M. Pidatella +1
A new method of algebraic nature is proposed for the study of the asymptotic properties of special polynomials. The technique we foresee is based on the use of umbral operators, al…
math.CA2019
Repeated derivatives of tanh, sech, ... and associated polynomials
Giuseppe Dattoli, Silvia Licciardi, Rosa Maria Pidatella +1
Elementary problems like the evaluation of repeated derivatives of ordinary transcendent functions can usefully be treated by the use of special polynomials and of a formalism borr…
math.CA2017
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…