1 citations · 1 across the 4 of their papers we have counts for
5 papers
Can Umbral and -calculus be merged?
G. Dattoli, B. Germano, K. Górska +1
The -calculus is reformulated in terms of the umbral calculus and of the associated operational formalism. We show that new and interesting elements emerge from such a restyling…
Umbral Methods and Harmonic Numbers
Giuseppe Dattoli, Bruna Germano, Silvia Licciardi +1
The theory of harmonic based function is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the…
Hermite Calculus
G. Dattoli, B. Germano, S. Licciardi +1
We develop a new method of umbral nature to treat blocks of Hermite and of Hermite like polynomials as independent algebraic quantities. The Calculus we propose allows the formulat…
Integrals of Bessel functions
D. Babusci, G. Dattoli, B. Germano +2
We use the operator method to evaluate a class of integrals involving Bessel or Bessel-type functions. The technique we propose is based on the formal reduction of these family of…
Touchard like polynomials and generalized Stirling numbers
G. Dattoli, B. Germano, M. R. Martinelli +1
The theory of Touchard polynomials is generalized using a method based on the definition of exponential operators, which extend the notion of the shift operator. The proposed techn…