Publications (63)
Laser Heater and seeded Free Electron Laser
G. Dattoli, V. Petrillo, E. Sabia
Symbolic calculus and integrals of Laguerre polynomials
D. Babusci, G. Dattoli, K. Górska
SASE FEL Storage Ring
G. Dattoli, E. Di Palma, A. Petralia +1
Integrals of Bessel functions
D. Babusci, G. Dattoli, B. Germano +2
On Ramanujan Master Theorem
D. Babusci, G. Dattoli
Deep Saturated Free Electron Laser Oscillators and Frozen Spikes
P. L. Ottaviani, S. Pagnutti, G. Dattoli +5
Operator solutions for fractional Fokker-Planck equations
K. Gorska, K. A. Penson, D. Babusci +2
The FEL SASE operation, bunch compression and the beam heater
G. Dattoli, M. Labat, M. Migliorati +3
Fel Oscillators with Tapered Undulators: Inclusion of Harmonic Generation and Pulse Propagation
G. Dattoli, P. L. Ottaviani, S. Pagnutti +1
On Mittag-Leffler function and associated polynomials
D. Babusci, G. Dattoli, K. Górska
Introduction to the Physics of Free Electron Laser and Comparison with Conventional Laser Sources
G. Dattoli, M. Del Franco, M. Labat +2
Repeated derivatives of composite functions and generalizations of the Leibniz rule
D. Babusci, G. Dattoli, K. Górska +1
Photoluminescence decay of silicon nanocrystals and Lévy stable distributions
G. Dattoli, K. Gorska, A. Horzela +1
A note on the extension of the Dirac method
D. Babusci, G. Dattoli, M. Quattromini +1
The stretched exponential behavior and its underlying dynamics. The phenomenological approach
K. Górska, A. Horzela, K. A. Penson +2
The Humbert-Bessel functions, Stirling numbers and probability distributions in coincidence problems
D. Babusci, G. Dattoli, E. Di Palma +1
Integral equations, fractional calculus and shift operator
D. Babusci, G. Dattoli, D. Sacchetti
Special polynomials and elliptic integrals
D. Babusci, G. Dattoli
Chebyshev polynomials and generalized complex numbers
D. Babusci, G. Dattoli, E. Di Di Palma +1
Heisenberg Algebra, Umbral Calculus and Orthogonal Polynomials
G. Dattoli, D. Levi, P. Winternitz
Heat Polynomials, Umbral Correspondence and Burgers Equations
G. Dattoli, D. Levi
Hermite Calculus
G. Dattoli, B. Germano, S. Licciardi +1
The Higher-Order Heat-Type Equations via signed Lévy stable and generalized Airy functions
K. Gorska, A. Horzela, K. A. Penson +1
Bunching coefficients in Echo-Enabled Harmonic Generation
G. Dattoli, E. Sabia
Slices and Ellipse Geometry
G. Dattoli, E. Sabia, M. Del Franco +1
Pathway to a Compact SASE FEL Device
G. Dattoli, E. Di Palma, V. Petrillo +6
On evaluation of integrals involving Bessel functions
D. Babusci, G. Dattoli
IRIDE White Book, An Interdisciplinary Research Infrastructure based on Dual Electron linacs&lasers
D. Alesini, M. Alessandroni, M. P. Anania +211
Complex-type numbers and generalizations of the Euler identity
D. Babusci, G. Dattoli, E. Di Palma +1
The Lamb-Bateman integral equation and the fractional derivatives
D. Babusci, G. Dattoli, D. Sacchetti
On the logarithm of the derivative operator
D. Babusci, G. Dattoli
The Euler Legacy to Modern Physics
G. Dattoli, M. Del Franco
Generalization of the Airy function and the operational methods
D. Babusci, G. Dattoli, D. Sacchetti
Definite integrals and operational methods
D. Babusci, G. Dattoli, G. H. E. Duchamp +2
Extreme Ultraviolet (EUV) Sources for Lithography based on Synchrotron Radiation
G. Dattoli, A. Doria, G. P. Gallerano +9
Relativistic equations with fractional and pseudo-differential operators
D. Babusci, G. Dattoli, M. Quattromini
Lacunary Generating Functions for the Laguerre Polynomials
D. Babusci, G. Dattoli, K. Gorska +1
The exponential parameterization of the quark mixing matrix
G. Dattoli, E. Di Palma
The spherical Bessel and Struve functions and operational methods
D. Babusci, G. Dattoli, K. Gorska +1
Dirac factorization and fractional calculus
D. Babusci, G. Dattoli, M. Quattromini +1
Slice emittance, projected emittance and properties of the FEL SASE radiation
G. Dattoli, M. Del Franco, A. Petralia +2
Energy Phase Correlation and Pulse Dynamics in Short Bunch High Gain FELs
G. Dattoli, L. Giannessi, P. L. Ottaviani +1
The Parabolic-Trigonometric Functions
G. Dattoli, M. Migliorati, M. Quattromini +1
Capillary Network, Cancer and Kleiber Law
G. Dattoli, S. Licciardi, C. Guiot +1
The Pseudo-Hyperbolic Functions and the Matrix Representation of Eisenstein Complex Numbers
G. Dattoli, E. Sabia, M. Del Franco
The Ramanujan master theorem and its implications for special functions
K. Gorska, D. Babusci, G. Dattoli +2
The algebra of factorial polynomials
D. Babusci, G. Dattoli, M. Carpanese
Touchard like polynomials and generalized Stirling numbers
G. Dattoli, B. Germano, M. R. Martinelli +1
Linear Potentials, Airy Wave Packets and Airy Transform
G. Dattoli, K. Zhukovsky
Relativistic harmonic oscillator
D. Babusci, G. Dattoli, M. Quattromini +1
Theory of relativistic heat polynomials and one-sided Lévy distributions
G. Dattoli, K. Górska, A. Horzela +2
Umbral methods and operator ordering
D. Babusci, G. Dattoli
Motzkin numbers, central trinomial coefficients and hybrid polynomials
P. Blasiak, G. Dattoli, A. Horzela +2
The Eisentein group and the pseudo hyperbolic functions
G. Dattoli, M. Migliorati, P. E. Ricci
A Note on Coriolis Quantum States
G. Dattoli, M. Quattromini
On integrals involving Hermite polynomials
D. Babusci, G. Dattoli, M. Quattromini
The parabolic trigonometric functions and the Chebyshev radicals
G. Dattoli, M. Migliorati, P. E. Ricci
Generalized Transforms and Special Functions
G. Dattoli, E. Sabia
Operational methods and Lorentz-type equations of motion
D. Babusci, G. Dattoli, E. Sabia
Generating Functions for Laguerre Polynomials: New Identities for Lacunary Series
D. Babusci, G. Dattoli, K. Gorska +1
The Dirac factorization method and the harmonic oscillator
D. Babusci, G. Dattoli
Symbolic methods for the evaluation of sum rules of Bessel functions
D. Babusci, G. Dattoli, K. Gorska +1
Relativistic Wave Equations: An Operational Approach
G. Dattoli, E. Sabia, K. Górska +2