Giuseppe Dattoli

Affiliations:
  • Unità Tecnico Scientifica Tecnologie Fisiche Avanzate ENEA, Centro Ricerche Frascati, Roma, Italy


According to our database1, Giuseppe Dattoli authored at least 48 papers between 2001 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2025
Theory of Hermite and Laguerre Bessel function from the umbral point of view.
Appl. Math. Comput., 2025

2024
Hermite, Higher order Hermite, Laguerre type polynomials and Burgers like equations.
J. Comput. Appl. Math., 2024

2023
On an Umbral Point of View of the Gaussian and Gaussian-like Functions.
Symmetry, December, 2023

The Role of Empirical Formulae in the Design of Complex Systems.
Symmetry, February, 2023

Monomiality and a New Family of Hermite Polynomials.
Symmetry, 2023

2022
Guide to the Umbral Calculus - A Different Mathematical Language
WorldScientific, ISBN: 9789811255342, 2022

2021
Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon Processes.
Symmetry, 2021

Inverse Derivative Operator and Umbral Methods for the Harmonic Numbers and Telescopic Series Study.
Symmetry, 2021

2019
Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials.
Axioms, 2019

Dual Numbers and Operational Umbral Methods.
Axioms, 2019

Operator Ordering and Solution of Pseudo-Evolutionary Equations.
Axioms, 2019

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.
Appl. Math. Comput., 2019

2018
Motzkin Numbers: an Operational Point of View.
J. Integer Seq., 2018

Umbral Methods and Harmonic Numbers.
Axioms, 2018

2015
Products of Bessel functions and associated polynomials.
Appl. Math. Comput., 2015

2014
Repeated derivatives of composite functions and generalizations of the Leibniz rule.
Appl. Math. Comput., 2014

The spherical Bessel and Struve functions and operational methods.
Appl. Math. Comput., 2014

2013
Integrals of Bessel functions.
Appl. Math. Lett., 2013

2012
Sheffer and Non-Sheffer Polynomial Families.
Int. J. Math. Math. Sci., 2012

On integrals involving Hermite polynomials.
Appl. Math. Lett., 2012

The Ramanujan master theorem and its implications for special functions.
Appl. Math. Comput., 2012

Touchard like polynomials and generalized Stirling numbers.
Appl. Math. Comput., 2012

Definite integrals and operational methods.
Appl. Math. Comput., 2012

2011
A novel theory of Legendre polynomials.
Math. Comput. Model., 2011

Special polynomials and elliptic integrals.
Appl. Math. Lett., 2011

Evolution of non-spreading Airy wavepackets in time dependent linear potentials.
Appl. Math. Comput., 2011

A note on the extension of the Dirac method.
Appl. Math. Comput., 2011

2010
Negative derivatives and special functions.
Appl. Math. Comput., 2010

2009
Monomiality and partial differential equations.
Math. Comput. Model., 2009

2008
Legendre polynomials: Lie methods and monomiality.
Math. Comput. Model., 2008

A note on harmonic numbers, umbral calculus and generating functions.
Appl. Math. Lett., 2008

2007
On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions.
Math. Comput. Model., 2007

Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials.
Math. Comput. Model., 2007

Operational methods and differential equations with applications to initial-value problems.
Appl. Math. Comput., 2007

Solutions of integro-differential equations and operational methods.
Appl. Math. Comput., 2007

2006
The truncated exponential polynomials, the associated Hermite forms and applications.
Int. J. Math. Math. Sci., 2006

2005
Nonexponential evolution equations and operator ordering.
Math. Comput. Model., 2005

Eigenfunctions of laguerre-type operators and generalized evolution problems.
Math. Comput. Model., 2005

2004
Laguerrian eigenvalue problems and Wright functions.
Math. Comput. Model., 2004

Comments on the theory of Bessel functions with more than one index.
Appl. Math. Comput., 2004

Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions.
Appl. Math. Comput., 2004

Integral transforms and Chebyshev-like polynomials.
Appl. Math. Comput., 2004

2003
Preface.
Appl. Math. Comput., 2003

Generalized shift operators and pseudo-polynomials of fractional order.
Appl. Math. Comput., 2003

A note on truncated polynomials.
Appl. Math. Comput., 2003

On a new family of Hermite polynomials associated to parabolic cylinder functions.
Appl. Math. Comput., 2003

Operational methods, fractional operators and special polynomials.
Appl. Math. Comput., 2003

2001
The Laguerre and Legendre polynomials from an operational point of view.
Appl. Math. Comput., 2001


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