72 citations · 147 across the 25 of their papers we have counts for
5 papers · 1 filter
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…
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…
Operational versus umbral methods and the Borel transform
G. Dattoli, E. Di Palma, E. Sabia +3
Integro-differential methods, currently exploited in calculus, provide an inexhaustible source of tools to be applied to a wide class of problems, involving the theory of special f…
Chebyshev polynomials and generalized complex numbers
D. Babusci, G. Dattoli, E. Di Di Palma +1
The generalized complex numbers can be realized in terms of or higher-order matrices and can be exploited to get different ways of looking at the trigonometric functions…
Complex-type numbers and generalizations of the Euler identity
D. Babusci, G. Dattoli, E. Di Palma +1
We consider different generalizations of the Euler formula and discuss the properties of the associated trigonometric functions. The problem is analyzed from different points of vi…