E. Sabia

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All published works
Action Title Year Authors
+ PDF Chat An operational point of view for the theory of multi-variable/multi-index Hermite polynomials 2024 G. Dattoli
Silvia Licciardi
E. Sabia
+ An operational point of view to the theory of multi-variable/multi-index Hermite polynomials 2023 G. Dattoli
Silvia Licciardi
E. Sabia
+ A note on the exact solution for the magnetic field in a solenoid 2021 G. Dattoli
E. Di Palma
E. Sabia
+ A Note on the Evolution of Covid-19 in Italy 2020 G. Dattoli
E. Di Palma
Silvia Licciardi
E. Sabia
+ Umbral-Algebraic Methods and Asymptotic Properties of Special Polynomials 2020 G. Dattoli
Silvia Licciardi
R. M. Pidatella
E. Sabia
+ On the Evolution of Covid-19 in Italy: a Follow up Note 2020 G. Dattoli
E. Di Palma
Silvia Licciardi
E. Sabia
+ A Note on the Evolution of Covid-19 in Italy 2020 G. Dattoli
E. Di Palma
Silvia Licciardi
E. Sabia
+ PDF Chat Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials 2019 G. Dattoli
Silvia Licciardi
R. M. Pidatella
E. Sabia
+ Corrigendum to “Products of Bessel functions and associated polynomials” [Applied Mathematics and Computation, 266(C) (2015) 507–514], Elsevier Science Inc. New York, NY, USA 2019 G. Dattoli
E. Sabia
E. Di Palma
Silvia Licciardi
+ PDF Chat Some Properties and Generating Functions of Generalized Harmonic Numbers 2019 G. Dattoli
Silvia Licciardi
E. Sabia
H. M. Srivastava
+ Repeated derivatives of tanh, sech, ... and associated polynomials 2019 G. Dattoli
Silvia Licciardi
R. M. Pidatella
E. Sabia
+ Hybrid Complex Numbers: The Matrix Version 2018 G. Dattoli
Silvia Licciardi
R. M. Pidatella
E. Sabia
+ EuPRAXIA@SPARC_LAB Design study towards a compact FEL facility at LNF 2018 M. Ferrario
D. Alesini
M.P. Anania
M. Artioli
A. Bacci
Samanta Bartocci
R. Bedogni
M. Bellaveglia
A. Biagioni
F. Bisesto
+ PDF Chat Theory of relativistic heat polynomials and one-sided Lévy distributions 2017 G. Dattoli
K. Górska
A. Horzela
K. A. Penson
E. Sabia
+ PDF Chat Operational Versus Umbral Methods and the Borel Transform 2017 G. Dattoli
E. Di Palma
E. Sabia
K. Górska
A. Horzela
K. A. Penson
+ Evolution Equations Involving Matrices Raised to Non-Integer Exponents 2017 G. Dattoli
Silvia Licciardi
F. Nguyen
E. Sabia
+ PDF Chat Deep saturated Free Electron Laser oscillators and frozen spikes 2016 P. L. Ottaviani
S. Pagnutti
G. Dattoli
E. Sabia
V. Petrillo
Petrus J.M. van der Slot
S.G. Biedroń
S.V. Milton
+ Generalized Trigonometric Functions and Elementary Applications 2016 G. Dattoli
E. Di Palma
F. Nguyen
E. Sabia
+ PDF Chat Pathway to a compact SASE FEL device 2015 G. Dattoli
E. Di Palma
V. Petrillo
Julietta V. Rau
E. Sabia
I. Spassovsky
S.G. Biedroń
Joshua Einstein
S.V. Milton
+ PDF Chat Products of Bessel functions and associated polynomials 2015 G. Dattoli
E. Di Palma
E. Sabia
Silvia Licciardi
+ PDF Chat Relativistic wave equations: an operational approach 2015 G. Dattoli
E. Sabia
K. Górska
A. Horzela
K. A. Penson
+ Cardan Polynomials, Chebyshev Exponents, Ultra-Radicals and Generalized Imaginary Units 2014 G. Dattoli
E. Di Palma
E. Sabia
+ Laser Heater and seeded Free Electron Laser 2014 G. Dattoli
V. Petrillo
E. Sabia
+ PDF Chat Chebyshev Polynomials and Generalized Complex Numbers 2013 D. Babusci
G. Dattoli
E. Di Palma
E. Sabia
+ IRIDE White Book, An Interdisciplinary Research Infrastructure based on Dual Electron linacs&lasers 2013 D. Alesini
G. Dattoli
Luca Pasquini
Enrico Dainese
A. Cianchi
M. Benfatto
P. Bolognesi
M. Zobov
Daniela Russo
G. Mazzitelli
+ PDF Chat Bunching coefficients in echo-enabled harmonic generation 2013 G. Dattoli
E. Sabia
+ Bunching coefficients in Echo-Enabled Harmonic Generation 2013 G. Dattoli
E. Sabia
+ Quasi Exact Solution of the Fisher Equation 2013 G. Dattoli
E. Di Palma
E. Sabia
Silvia Licciardi
+ Products of Bessel functions and associated polynomials 2013 G. Dattoli
E. Di Palma
E. Sabia
Silvia Licciardi
+ IRIDE White Book, An Interdisciplinary Research Infrastructure based on Dual Electron linacs&lasers 2013 D. Alesini
M. Alessandroni
M.P. Anania
S. Andreas
M. Angelone
Alessandro Arcovito
Fabio Arnesano
M. Artioli
L. Avaldi
D. Babusci
+ Relativistic harmonic oscillator 2012 D. Babusci
E. Sabia
G. Dattoli
M. Quattromini
+ Chebyshev polynomials and generalized complex numbers 2012 D. Babusci
G. Dattoli
E. Di Palma
E. Sabia
+ PDF Chat Complex-Type Numbers and Generalizations of the Euler Identity 2011 D. Babusci
G. Dattoli
E. Di Palma
E. Sabia
+ Slices and Ellipse Geometry 2011 G. Dattoli
E. Sabia
M. Franco
A. Petralia
+ PDF Chat Operational Methods and Lorentz-Type Equations of Motion 2011 Danilo Babusci
G. Dattoli
E. Sabia
+ Complex-type numbers and generalizations of the Euler identity 2011 D. Babusci
G. Dattoli
E. Di Palma
E. Sabia
+ PDF Chat The FEL SASE operation, bunch compression and the beam heater 2010 G. Dattoli
M. Labat
M. Migliorati
P.L. Ottaviani
S. Pagnutti
E. Sabia
+ The Pseudo-Hyperbolic Functions and the Matrix Representation of Eisenstein Complex Numbers 2010 G. Dattoli
E. Sabia
Michael Franco
+ Generalized Transforms and Special Functions 2010 G. Dattoli
E. Sabia
+ Slice emittance, projected emittance and properties of the FEL SASE radiation 2010 G. Dattoli
M. Franco
A. Petralia
C. Ronsivalle
E. Sabia
+ Operational methods and Lorentz-type equations of motion 2010 D. Babusci
G. Dattoli
E. Sabia
+ CKM matrix exponential parametrization and Euler angles 1997 G. Dattoli
E. Sabia
A. Torre
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Evolution operator equations: Integration with algebraic and finitedifference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory 1997 G. Dattoli
P. L. Ottaviani
A. Torre
Luis Vázquez
10
+ Special functions for engineers and applied mathematicians 1985 Larry C. Andrews
7
+ PDF Chat Relativistic equations with fractional and pseudodifferential operators 2011 D. Babusci
G. Dattoli
M. Quattromini
5
+ Generalized polynomials, operational identities and their applications 2000 G. Dattoli
5
+ The Umbral Calculus 1984 Steven Roman
4
+ PDF Chat Complex-Type Numbers and Generalizations of the Euler Identity 2011 D. Babusci
G. Dattoli
E. Di Palma
E. Sabia
4
+ PDF Chat Touchard like polynomials and generalized Stirling numbers 2012 G. Dattoli
B. Germano
M. R. Martinelli
Paolo Emilio Ricci
3
+ Complex algebras on n-order polynomials and generalizations of trigonometry, oscillator model and Hamilton dynamics 2005 Robert M. Yamaleev
3
+ PDF Chat Operational Methods and Lorentz-Type Equations of Motion 2011 Danilo Babusci
G. Dattoli
E. Sabia
3
+ Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers 2001 Paul Fjelstad
Sorin G. Gal
3
+ PDF Chat Exact and Explicit Probability Densities for One-Sided Lévy Stable Distributions 2010 K. A. Penson
K. Górska
3
+ Umbral Calculus, a Different Mathematical Language 2018 Silvia Licciardi
3
+ From Generalized Clifford Algebras to nambu’s formulation of dynamics 2000 Robert M. Yamaleev
3
+ PDF Chat Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering 2005 Paweł Błasiak
G. Dattoli
A. Horzela
K. A. Penson
3
+ The Curious History of Faà di Bruno's Formula 2002 Warren P. Johnson
3
+ PDF Chat Symbolic methods for the evaluation of sum rules of Bessel functions 2013 D. Babusci
G. Dattoli
K. Górska
K. A. Penson
3
+ On Crofton-Glaisher type relations and derivation of generating functions for Hermite polynomials including the multi-index case 2008 G. Dattoli
Subuhi Khan
Paolo Emilio Ricci
3
+ Trigonometry in Lorentzian Geometry 1984 Graciela S. Birman
Katsumi Nomizu
2
+ The Eisentein group and the pseudo hyperbolic functions 2010 G. Dattoli
M. Migliorati
Paolo Emilio Ricci
2
+ PDF Chat The spherical Bessel and Struve functions and operational methods 2014 D. Babusci
G. Dattoli
K. Górska
K. A. Penson
2
+ Commutation Relations, Normal Ordering, and Stirling Numbers 2015 Toufik Mansour
Matthias Schork
2
+ Lacunary Generating Functions for Laguerre Polynomials 2013 D. Babusci
G. Dattoli
K. Górska
K. A. Penson
2
+ PDF Chat The On-Line Encyclopedia of Integer Sequences 2007 N. J. A. Sloane
2
+ On multiple sums of special functions 2010 Yu. A. Brychkov
2
+ Special functions for engineers and applied mathematicians 1986 David A. Gershfeld
2
+ PDF Chat Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry 2000 Francisco J. Herranz
Ramón Ortega
Mariano Santander
2
+ Ramanujan’s Notebooks: Part V 1997 Bruce C. Berndt
2
+ The Chebyshev Exponent 2012 Gene Ward Smith
2
+ Evolution operators and Euler angles 2003 G. Dattoli
L. Mezi
M. Migliorati
2
+ On Ramanujan Master Theorem 2011 D. Babusci
G. Dattoli
2
+ On the Hurwitz function for rational arguments 2006 Victor Adamchik
2
+ Geometrical and physical interpretation of evolution governed by general complex algebra 2007 Robert M. Yamaleev
2
+ A novel theory of Legendre polynomials 2011 G. Dattoli
B. Germano
M. R. Martinelli
Paolo Emilio Ricci
2
+ PDF Chat Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics 2011 K. Kowalski
Jakub Rembieliński
2
+ Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles 1958 Herman Feshbach
F. Villars
2
+ PDF Chat Derivative polynomials and closed-form higher derivative formulae 2009 Djurdje Cvijović
2
+ Lie Algebraic Solution of Linear Differential Equations 1963 James Cheng‐Chung Wei
Edward Norman
2
+ The Finite Calculus Associated with Bessel Functions 1988 Frank M. Cholewinski
2
+ PDF Chat Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences 1999 Michael E. Hoffman
2
+ Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials 2006 G. Dattoli
M. Migliorati
H. M. Srivastava
2
+ PDF Chat A note on the extension of the Dirac method 2011 D. Babusci
G. Dattoli
M. Quattromini
Paolo Emilio Ricci
2
+ Derivative Polynomials For Tangent and Secant 1995 Michael E. Hoffman
2
+ The Pseudo-Hyperbolic Functions and the Matrix Representation of Eisenstein Complex Numbers 2010 G. Dattoli
E. Sabia
Michael Franco
2
+ <i>Integrals and Series</i> 1988 A. P. Prudnikov
Yu. A. Brychkov
O. I. Marichev
Robert H. Romer
2
+ PDF Chat Quantum simulation of the Dirac equation 2010 R. Gerritsma
Gerhard Kirchmair
F. Zähringer
E. Solano
R. Blatt
C. F. Roos
2
+ Quasi Exact Solution of the Fisher Equation 2013 G. Dattoli
E. Di Palma
E. Sabia
Silvia Licciardi
2
+ PDF Chat Repeated derivatives of composite functions and generalizations of the Leibniz rule 2014 D. Babusci
G. Dattoli
K. Górska
K. A. Penson
2
+ Fonctions hypergéométriques et hypersphériques : polynomes d'Hermite 1926 Paul Appell
J. Kampé de Fériet
2
+ n-Dimensional hyperbolic complex numbers 1998 Paul Fjelstad
Sorin G. Gal
2
+ An Introduction to Combinatorial Analysis 1958 R. A. Leibler
John Riordan
2