1 citations · 1 across the 3 of their papers we have counts for
4 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…
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…