72 citations · 396 across the 74 of their papers we have counts for
5 papers · 2 filters
Generating Functions for Laguerre Polynomials: New Identities for Lacunary Series
D. Babusci, G. Dattoli, K. Gorska +1
We present a number of identities involving standard and associated Laguerre polynomials. They include double-, and triple-lacunary, ordinary and exponential generating functions o…
Relativistic harmonic oscillator
D. Babusci, G. Dattoli, M. Quattromini +1
We consider the relativistic generalization of the harmonic oscillator problem by addressing different questions regarding its classical aspects. We treat the problem using the for…
Dirac factorization and fractional calculus
D. Babusci, G. Dattoli, M. Quattromini +1
We show that the Dirac factorization method can be successfully employed to treat problems involving operators raised to a fractional power. The technique we adopt is based on an e…
Symbolic methods for the evaluation of sum rules of Bessel functions
D. Babusci, G. Dattoli, K. Gorska +1
The use of the umbral formalism allows a significant simplification of the derivation of sum rules involving products of special functions and polynomials. We rederive in this way…
The Dirac factorization method and the harmonic oscillator
D. Babusci, G. Dattoli
We apply the Dirac factorization method to the nonrelativistic harmonic oscillator and, more in general, to Hamiltonians with a generic potential. It is shown that this procedure n…