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Dattoli, Giuseppe

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Author ID: dattoli.giuseppe Recent zbMATH articles by "Dattoli, Giuseppe"
Published as: Dattoli, G.; Dattoli, Giuseppe
External Links: ResearchGate · dblp · GND
Documents Indexed: 201 Publications since 1983, including 4 Books
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Serials

21 Applied Mathematics and Computation
18 Integral Transforms and Special Functions
14 Journal of Mathematical Physics
10 Mathematical and Computer Modelling
9 Journal of Mathematical Analysis and Applications
8 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
6 Computers & Mathematics with Applications
5 Journal of Computational and Applied Mathematics
5 Georgian Mathematical Journal
5 Fractional Calculus & Applied Analysis
4 Le Matematiche
4 Applied Mathematics Letters
4 Journal of Physics A: Mathematical and General
4 Advances in Applied Clifford Algebras
4 International Mathematical Forum
3 Physics Letters. A
3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
3 International Journal of Mathematics and Mathematical Sciences
3 Jnanabha
3 International Journal of Mathematical and Statistical Sciences
3 Tamsui Oxford Journal of Mathematical Sciences
3 International Mathematical Journal
3 Journal of Concrete and Applicable Mathematics
3 Journal of Physics A: Mathematical and Theoretical
3 Axioms
3 International Journal of Applied and Computational Mathematics
2 Reports on Mathematical Physics
2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
2 Journal of Scientific Computing
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Journal of Integer Sequences
2 Journal of Computational Analysis and Applications
2 International Journal of Applied Mathematics
2 Mathematics
1 Applicable Analysis
1 IMA Journal of Applied Mathematics
1 Hadronic Journal
1 Physica D
1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali
1 Annals of Numerical Mathematics
1 Journal of Difference Equations and Applications
1 Séminaire Lotharingien de Combinatoire
1 Taiwanese Journal of Mathematics
1 Italian Journal of Pure and Applied Mathematics
1 Far East Journal of Mathematical Sciences
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Bulletin of TICMI
1 Mathematical Sciences Research Journal
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Mathematica Macedonica
1 Journal of Applied Functional Analysis
1 Lecture Notes of Seminario Interdisciplinare di Matematica
1 Journal of Physical Mathematics
1 Journal of Theoretical Biology
1 Pure Mathematical Sciences
1 IOP Expanding Physics

Publications by Year

Citations contained in zbMATH Open

157 Publications have been cited 1,065 times in 431 Documents Cited by Year
Hermite-Bessel and Laguerre-Bessel functions: A by-product of the monomiality principle. Zbl 1022.33006
Dattoli, G.
93
2000
Generalized polynomials, operational identities and their applications. Zbl 1016.33012
Dattoli, G.
44
2000
Operatorial methods and two variable Laguerre polynomials. Zbl 1098.33501
Dattoli, G.; Torre, A.
33
1998
Generalized polynomials and associated operational identities. Zbl 0949.33005
Dattoli, G.; Lorenzutta, S.; Mancho, A. M.; Torre, A.
30
1999
Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering. Zbl 1187.81155
Blasiak, P.; Dattoli, G.; Horzela, A.; Penson, K. A.
26
2006
A note on truncated polynomials. Zbl 1024.33002
Dattoli, Giuseppe; Cesarano, Clemente; Sacchetti, Dario
26
2003
Finite sums and generalized forms of Bernoulli polynomials. Zbl 0958.33006
Dattoli, G.; Lorenzutta, S.; Cesarano, C.
25
1999
Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials. Zbl 1117.33008
Dattoli, G.; Migliorati, M.; Srivastava, H. M.
24
2007
Laguerre-type exponentials, and the relevant \(L\)-circular and \(L\)-hyperbolic functions. Zbl 1045.33001
Dattoli, Giuseppe; Ricci, Paolo E.
21
2003
Operational methods and differential equations with applications to initial-value problems. Zbl 1113.35009
Dattoli, G.; Srivastava, H. M.; Zhukovsky, K.
20
2007
Operational rules and arbitrary order Hermite generating functions. Zbl 0918.33012
Dattoli, G.; Torre, A.; Carpanese, M.
18
1998
Orthogonality properties of the Hermite and related polynomials. Zbl 1074.33010
Dattoli, G.; Srivastava, H. M.; Zhukovsky, K.
17
2005
Integral transforms and Chebyshev-like polynomials. Zbl 1033.33004
Dattoli, G.
15
2004
Operational identities and properties of ordinary and generalized special functions. Zbl 0943.33005
Dattoli, G.; Torre, A.; Lorenzutta, S.
15
1999
Generalized Hermite polynomials and supergaussian forms. Zbl 0872.33009
Dattoli, G.; Lorenzutta, S.; Maino, G.; Torre, A.; Cesarano, C.
15
1996
A note on harmonic numbers, umbral calculus and generating functions. Zbl 1152.05306
Dattoli, G.; Srivastava, H. M.
14
2008
A new family of integral transforms and their applications. Zbl 1086.33009
Dattoli, G.; Srivastava, H. M.; Zhukovsky, K.
14
2006
\(L\)-exponentials and higher order Laguerre polynomials. Zbl 1077.33010
Bernardini, A.; Dattoli, G.; Ricci, P. E.
14
2003
A class of Bessel summation formulas and associated operational methods. Zbl 1084.33002
Dattoli, G.; Migliorati, M.; Srivastava, H. M.
13
2004
Operational methods, special polynomial and functions and solution of partial differential equations. Zbl 1056.35036
Dattoli, G.; Ricci, P. E.; Khomasuridze, I.
13
2004
Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions. Zbl 1054.33006
Dattoli, G.; Germano, B.; Ricci, P. E.
13
2004
On Crofton-Glaisher type relations and derivation of generating functions for Hermite polynomials including the multi-index case. Zbl 1140.44002
Dattoli, G.; Khan, Subuhi; Ricci, P. E.
12
2008
Eigenfunctions of Laguerre-type operators and generalized evolution problems. Zbl 1097.34551
Dattoli, G.; He, M. X.; Ricci, P. E.
12
2005
A note on Legendre polynomials. Zbl 1075.33502
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente
12
2001
The Laguerre and Legendre polynomials from an operational point of view. Zbl 1036.33008
Dattoli, G.; Srivastava, H. M.; Cesarano, C.
12
2001
Generalized polynomials and new families of generating functions. Zbl 0999.33009
Dattoli, G.; Lorenzutta, S.; Cesarano, C.
12
2001
On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions. Zbl 1132.33003
Dattoli, G.; Ricci, P. E.; Khomasuridze, I.
11
2007
Operational versus Lie-algebraic methods and the theory of multi-variable Hermite polynomials. Zbl 1072.33011
Dattoli, G.; Srivastava, H. M.; Khan, Subuhi
11
2005
A unified point of view on the theory of generalized Bessel functions. Zbl 0852.33002
Dattoli, G.; Maino, G.; Chiccoli, C.; Lorenzutta, S.; Torre, A.
11
1995
Generalized Bessel functions and generalized Hermite polynomials. Zbl 0785.33003
Dattoli, G.; Chiccoli, C.; Lorenzutta, S.; Maino, G.; Torre, A.
11
1993
Generating functions of multivariable generalized Bessel functions and Jacobi-elliptic functions. Zbl 0752.33009
Dattoli, G.; Chiccoli, C.; Lorenzutta, S.; Maino, G.; Richetta, M.; Torre, A.
11
1992
The higher-order heat-type equations via signed Lévy stable and generalized Airy functions. Zbl 1281.82021
Górska, K.; Horzela, A.; Penson, K. A.; Dattoli, G.
10
2013
Monomiality, orthogonal and pseudo-orthogonal polynomials. Zbl 1148.33005
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P.-E.
10
2006
Bernstein polynomials and operational methods. Zbl 1095.33004
Dattoli, G.; Lorenzutta, S.; Cesarano, C.
10
2006
On a family of hybrid polynomials. Zbl 1062.33009
Dattoli, G.; Lorenzutta, S.; Ricci, P. E.; Cesarano, C.
10
2004
The Lagrange polynomials, the associated generalizations, and the umbral calculus. Zbl 1032.33007
Dattoli, G.; Ricci, P. E.; Cesarano, C.
10
2003
Heisenberg algebra, umbral calculus and orthogonal polynomials. Zbl 1152.81396
Dattoli, G.; Levi, D.; Winternitz, P.
9
2008
Special polynomials and fractional calculus. Zbl 1081.33011
Dattoli, G.; Ricci, P. E.; Cesarano, C.; Vázquez, L.
9
2003
Generalized shift operators and pseudo-polynomials of fractional order. Zbl 1068.33013
Dattoli, G.; Ricci, P. E.; Sacchetti, D.
9
2003
Operational methods, fractional operators and special polynomials. Zbl 1099.33006
Dattoli, G.
9
2003
On a new family of Hermite polynomials associated to parabolic cylinder functions. Zbl 1026.33010
Dattoli, G.; Cesarano, C.
9
2003
Incomplete 2D Hermite polynomials: Properties and applications. Zbl 1037.33005
Dattoli, G.
9
2003
Integral representation of new familes of polynomials. Zbl 1187.33014
Lorenzutta, S.; Dattoli, Giuseppe; Sacchetti, D.
8
2004
Theory of two-index Bessel functions and applications to physical problems. Zbl 0815.33002
Dattoli, G.; Lorenzutta, S.; Maino, G.; Torre, A.; Voykov, G.; Chiccoli, C.
8
1994
Generalized Bessel functions and exact solutions of partial differential equations. Zbl 0779.33003
Lorenzutta, S.; Maino, G.; Dattoli, G.; Richetta, M.; Torre, A.; Chiccoli, C.
8
1992
Lacunary generating functions for the Laguerre polynomials. Zbl 1364.33013
Babusci, Danilo; Dattoli, Giuseppe; Górska, Katarzyna; Penson, Karol
7
2017
Complex-type numbers and generalizations of the Euler identity. Zbl 1269.33001
Babusci, D.; Dattoli, G.; Di Palma, E.; Sabia, E.
7
2012
Operational methods: An extension from ordinary monomials to multi-dimensional Hermite polynomials. Zbl 1116.33014
Dattoli, G.; Khan, Subuhi
7
2007
The Havriliak-Negami relaxation and its relatives: the response, relaxation and probability density functions. Zbl 1392.82071
Górska, K.; Horzela, A.; Bratek, Ł.; Dattoli, G.; Penson, K. A.
6
2018
The Ramanujan master theorem and its implications for special functions. Zbl 1280.33005
Górska, K.; Babusci, D.; Dattoli, G.; Duchamp, G. H. E.; Penson, K. A.
6
2012
Touchard like polynomials and generalized Stirling numbers. Zbl 1281.33009
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
6
2012
Evolution of non-spreading Airy wavepackets in time dependent linear potentials. Zbl 1219.65115
Zhukovsky, K. V.; Dattoli, G.
6
2011
Hermite polynomials with more than two variables and associated bi-orthogonal functions. Zbl 1173.33006
Dattoli, G.; Germano, B.; Ricci, P. E.
6
2009
Monomiality, Lie algebras and Laguerre polynomials. Zbl 1121.33014
Dattoli, G.; Khan, Subuhi
6
2006
On new families of integral transforms for the solution of partial differential equations. Zbl 1082.35011
Dattoli, G.; Martinelli, M. R.; Ricci, P. E.
6
2005
Beyond the monomiality: the monumbrality principle. Zbl 1096.33005
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente
6
2004
Theory of multiindex multivariable Bessel functions and Hermite polynomials. Zbl 0949.33003
Dattoli, G.; Lorenzutta, S.; Maino, G.; Torre, A.
6
1997
\(q\)-Bessel functions: The point of view of the generating function method. Zbl 0884.33004
Dattoli, G.; Torre, A.
6
1997
Generalised forms of Bessel functions and Hermite polynomials. Zbl 0851.33001
Dattoli, G.; Lorenzutta, S.; Maino, G.; Torre, A.
6
1995
Relativistic wave equations: an operational approach. Zbl 1316.35248
Dattoli, G.; Sabia, E.; Górska, K.; Horzela, A.; Penson, K. A.
5
2015
The Lamb-Bateman integral equation and the fractional derivatives. Zbl 1312.45001
Babusci, Danilo; Dattoli, Giuseppe; Sacchetti, Dario
5
2011
Monomiality and partial differential equations. Zbl 1185.35006
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
5
2009
Laguerrian eigenvalue problems and Wright functions. Zbl 1070.33009
Dattoli, G.; Arena, A.; Ricci, P. E.
5
2004
Differential equations for Appell type polynomials. Zbl 1040.33007
Dattoli, G.; Ricci, P. E.; Cesarano, C.
5
2002
Monumbral polynomials and the associated formalism. Zbl 1030.33006
Dattoli, G.; Ricci, P. E.; Cesarano, C.
5
2002
Bilateral generating functions and operational methods. Zbl 1073.33008
Dattoli, G.
5
2002
A note on the monomiality principle and generalized polynomials. Zbl 1048.33009
Dattoli, G.; Cesarano, C.; Sacchetti, D.
5
2001
Theory of generalized Hermite polynomials. Zbl 0802.33011
Dattoli, G.; Chiccoli, C.; Lorenzutta, S.; Maino, G.; Torre, A.
5
1994
Evolution of \(SU(2)\) and \(SU(1,1)\) states: A further mathematical analysis. Zbl 0785.22027
Dattoli, G.; Richetta, M.; Torre, A.
5
1988
Symbolic methods for the evaluation of sum rules of Bessel functions. Zbl 1334.33016
Babusci, D.; Dattoli, G.; Górska, K.; Penson, K. A.
4
2013
Generating functions involving arbitrary products. Zbl 1132.33004
Dattoli, G.; Ricci, P. E.; Khomasuridze, I.; Migliorati, M.
4
2007
Laguerre and generalized Hermite polynomials: the point of view of the operational method. Zbl 1063.33008
Dattoli, G.
4
2004
The Hermite polynomials and the Bessel functions from a general point of view. Zbl 1082.33002
Dattoli, G.; Srivastava, H. M.; Sacchetti, D.
4
2003
Bernoulli numbers and polynomials from a more general point of view. Zbl 1046.33006
Dattoli, G.; Cesarano, C.; Lorenzutta, S.
4
2002
A note on Chebyshev polynomials. Zbl 0999.33007
Dattoli, G.; Sacchetti, D.; Cesarano, C.
4
2001
Phase-space dynamics and Hermite polynomials of two variables and two indices. Zbl 0816.70013
Dattoli, G.; Lorenzutta, S.; Maino, G.; Torre, A.
4
1994
Lie algebraic methods and solutions of linear partial differential equations. Zbl 0729.35028
Dattoli, G.; Richetta, M.; Schettini, G.; Torre, A.
4
1990
Cayley-Klein parameters and evolution of two- and three-level systems and squeezed states. Zbl 0709.70014
Dattoli, G.; Torre, A.
4
1990
Theory of generalized trigonometric functions: from Laguerre to Airy forms. Zbl 1407.33006
Dattoli, G.; Licciardi, S.; Pidatella, R. M.
3
2018
Operational versus umbral methods and the Borel transform. Zbl 1397.44003
Dattoli, G.; di Palma, E.; Sabia, E.; Górska, K.; Horzela, A.; Penson, K. A.
3
2017
The spherical Bessel and Struve functions and operational methods. Zbl 1334.33017
Babusci, D.; Dattoli, G.; Górska, K.; Penson, K. A.
3
2014
Photoluminescence decay of silicon nanocrystals and Lévy stable distributions. Zbl 1331.82084
Dattoli, G.; Górska, Katarzyna; Horzela, Andrzej; Penson, K. A.
3
2014
Operational methods and Lorentz-type equations of motion. Zbl 1269.34008
Babusci, Danilo; Dattoli, Giuseppe; Sabia, Elio
3
2011
A novel theory of Legendre polynomials. Zbl 1225.33009
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
3
2011
Special polynomials and elliptic integrals. Zbl 1222.33005
Babusci, D.; Dattoli, G.
3
2011
Cancer metabolism and the dynamics of metastasis. Zbl 1400.92247
Dattoli, G.; Guiot, C.; Delsanto, P. P.; Ottaviani, P. L.; Pagnutti, S.; Deisboeck, T. S.
3
2009
Solutions of integro-differential equations and operational methods. Zbl 1118.45007
Dattoli, G.; Migliorati, M.; Khan, Subuhi
3
2007
Bessel summation formulae and operational methods. Zbl 1067.33010
Dattoli, G.; Migliorati, M.; Srivastava, H. M.
3
2005
Derivation of the Hille-Hardy type formulae and operational methods. Zbl 1072.33006
Dattoli, Giuseppe
3
2003
Two-index multidimensional Gegenbauer polynomials and their integral representations. Zbl 1038.33004
Dattoli, G.; Ricci, P. E.; Srivastava, H. M.
3
2003
Miscellaneous results on the generating functions of special functions. Zbl 1023.33006
Dattoli, G.; Cesarano, C.; Sacchetti, D.
3
2001
Generalized Bessel functions and Kapteyn series. Zbl 1007.33002
Dattoli, G.; Torre, A.; Lorenzutta, S.; Maino, G.
3
1998
Finite-difference schemes and time-ordering corrections. Zbl 0945.65102
Dattoli, G.; Quattromini, M.; Torre, A.; Vázquez, L.
3
1998
Monomiality and integrals involving Laguerre polynomials. Zbl 0935.33011
Dattoli, G.; Torre, A.; Mazzacurati, G.
3
1998
An alternative point of view to the theory of fractional Fourier transform. Zbl 0926.42010
Dattoli, G.; Torre, A.; Mazzacurati, G.
3
1998
Miscellaneous identities fo generalized Hermite polynomials. Zbl 0934.33009
Dattoli, G.; Lorenzutta, S.; Torre, A.
3
1997
A note on generalized Bessel functions and Fourier series. Zbl 0889.33002
Lorenzutta, S.; Maino, G.; Dattoli, G.; Torre, A.; Tocci, D.
3
1997
Phase-space formalism: Generalized Hermite polynomials, orthogonal functions and creation-annihilation operators. Zbl 0934.33017
Dattoli, G.; Torre, A.
3
1995
Motzkin numbers: an operational point of view. Zbl 1400.11072
Artioli, M.; Dattoli, G.; Licciardi, S.; Pagnutti, S.
2
2018
Charged beam dynamics, particle accelerators and free electron lasers. Zbl 1381.78002
Dattoli, Giuseppe; Doria, Andrea; Sabia, Elio; Artioli, Marcello
2
2017
The Havriliak-Negami relaxation and its relatives: the response, relaxation and probability density functions. Zbl 1392.82071
Górska, K.; Horzela, A.; Bratek, Ł.; Dattoli, G.; Penson, K. A.
6
2018
Theory of generalized trigonometric functions: from Laguerre to Airy forms. Zbl 1407.33006
Dattoli, G.; Licciardi, S.; Pidatella, R. M.
3
2018
Motzkin numbers: an operational point of view. Zbl 1400.11072
Artioli, M.; Dattoli, G.; Licciardi, S.; Pagnutti, S.
2
2018
Hybrid complex numbers: the matrix version. Zbl 1394.15017
Dattoli, G.; Licciardi, S.; Pidatella, R. M.; Sabia, E.
1
2018
Mittag-Leffler function and fractional differential equations. Zbl 1390.35398
Górska, Katarzyna; Lattanzi, Ambra; Dattoli, Giuseppe
1
2018
Lacunary generating functions for the Laguerre polynomials. Zbl 1364.33013
Babusci, Danilo; Dattoli, Giuseppe; Górska, Katarzyna; Penson, Karol
7
2017
Operational versus umbral methods and the Borel transform. Zbl 1397.44003
Dattoli, G.; di Palma, E.; Sabia, E.; Górska, K.; Horzela, A.; Penson, K. A.
3
2017
Charged beam dynamics, particle accelerators and free electron lasers. Zbl 1381.78002
Dattoli, Giuseppe; Doria, Andrea; Sabia, Elio; Artioli, Marcello
2
2017
Fractional derivatives, memory kernels and solution of a free electron laser Volterra type equation. Zbl 1394.45006
Artioli, Marcello; Dattoli, Giuseppe; Licciardi, Silvia; Pagnutti, Simonetta
1
2017
Theory of relativistic heat polynomials and one-sided Lévy distributions. Zbl 1371.35291
Dattoli, G.; Górska, K.; Horzela, A.; Penson, K. A.; Sabia, E.
1
2017
The stretched exponential behavior and its underlying dynamics. The phenomenological approach. Zbl 1360.35311
Górska, Katarzyna; Horzela, Andrzej; Penson, Karol A.; Dattoli, Giuseppe; Duchamp, Gerard H. E.
1
2017
Relativistic wave equations: an operational approach. Zbl 1316.35248
Dattoli, G.; Sabia, E.; Górska, K.; Horzela, A.; Penson, K. A.
5
2015
Root operators and “evolution” equations. Zbl 1342.35069
Dattoli, Giuseppe; Torre, Amalia
2
2015
The Humbert-Bessel functions, Stirling numbers and probability distributions in coincidence problems. Zbl 1333.33004
Babusci, D.; Dattoli, G.; Di Palma, E.; Petropoulou, E. N.
1
2015
Cardan polynomials, Chebyshev exponents, ultra-radicals and generalized imaginary units. Zbl 1314.33009
Dattoli, G.; Di Palma, E.; Sabia, E.
1
2015
The spherical Bessel and Struve functions and operational methods. Zbl 1334.33017
Babusci, D.; Dattoli, G.; Górska, K.; Penson, K. A.
3
2014
Photoluminescence decay of silicon nanocrystals and Lévy stable distributions. Zbl 1331.82084
Dattoli, G.; Górska, Katarzyna; Horzela, Andrzej; Penson, K. A.
3
2014
Repeated derivatives of composite functions and generalizations of the Leibniz rule. Zbl 1334.26006
Babusci, D.; Dattoli, G.; Górska, K.; Penson, K. A.
2
2014
Chebyshev polynomials and generalized complex numbers. Zbl 1298.33010
Babusci, D.; Dattoli, G.; Di Palma, E.; Sabia, E.
2
2014
The higher-order heat-type equations via signed Lévy stable and generalized Airy functions. Zbl 1281.82021
Górska, K.; Horzela, A.; Penson, K. A.; Dattoli, G.
10
2013
Symbolic methods for the evaluation of sum rules of Bessel functions. Zbl 1334.33016
Babusci, D.; Dattoli, G.; Górska, K.; Penson, K. A.
4
2013
On the mathematical aspects of the quark mixing matrix: the exponential parameterization. Zbl 1310.81154
Dattoli, G.; Di Palma, E.
1
2013
Integrals of Bessel functions. Zbl 1257.33003
Babusci, D.; Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
1
2013
Complex-type numbers and generalizations of the Euler identity. Zbl 1269.33001
Babusci, D.; Dattoli, G.; Di Palma, E.; Sabia, E.
7
2012
The Ramanujan master theorem and its implications for special functions. Zbl 1280.33005
Górska, K.; Babusci, D.; Dattoli, G.; Duchamp, G. H. E.; Penson, K. A.
6
2012
Touchard like polynomials and generalized Stirling numbers. Zbl 1281.33009
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
6
2012
Definite integrals and operational methods. Zbl 1309.44002
Babusci, D.; Dattoli, G.; Duchamp, G. H. E.; Górska, K.; Penson, K. A.
2
2012
On integrals involving Hermite polynomials. Zbl 1251.33005
Babusci, D.; Dattoli, G.; Quattromini, M.
1
2012
Evolution of non-spreading Airy wavepackets in time dependent linear potentials. Zbl 1219.65115
Zhukovsky, K. V.; Dattoli, G.
6
2011
The Lamb-Bateman integral equation and the fractional derivatives. Zbl 1312.45001
Babusci, Danilo; Dattoli, Giuseppe; Sacchetti, Dario
5
2011
Operational methods and Lorentz-type equations of motion. Zbl 1269.34008
Babusci, Danilo; Dattoli, Giuseppe; Sabia, Elio
3
2011
A novel theory of Legendre polynomials. Zbl 1225.33009
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
3
2011
Special polynomials and elliptic integrals. Zbl 1222.33005
Babusci, D.; Dattoli, G.
3
2011
A note on the extension of the Dirac method. Zbl 1270.81077
Babusci, D.; Dattoli, G.; Quattromini, M.; Ricci, P. E.
2
2011
The Euler legacy to modern physics. Zbl 1236.33003
Dattoli, Giuseppe; Del Franco, Mario
2
2010
Negative derivatives and special functions. Zbl 1208.33002
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
1
2010
Appell polynomial series expansions. Zbl 1197.33014
Dattoli, G.; Zhukovsky, K.
1
2010
Hermite polynomials with more than two variables and associated bi-orthogonal functions. Zbl 1173.33006
Dattoli, G.; Germano, B.; Ricci, P. E.
6
2009
Monomiality and partial differential equations. Zbl 1185.35006
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
5
2009
Cancer metabolism and the dynamics of metastasis. Zbl 1400.92247
Dattoli, G.; Guiot, C.; Delsanto, P. P.; Ottaviani, P. L.; Pagnutti, S.; Deisboeck, T. S.
3
2009
Summation formulae and Stirling numbers. Zbl 1189.33024
Dattoli, G.; Migliorati, M.; Zhukovsky, K.
1
2009
A note on harmonic numbers, umbral calculus and generating functions. Zbl 1152.05306
Dattoli, G.; Srivastava, H. M.
14
2008
On Crofton-Glaisher type relations and derivation of generating functions for Hermite polynomials including the multi-index case. Zbl 1140.44002
Dattoli, G.; Khan, Subuhi; Ricci, P. E.
12
2008
Heisenberg algebra, umbral calculus and orthogonal polynomials. Zbl 1152.81396
Dattoli, G.; Levi, D.; Winternitz, P.
9
2008
The negative derivative operator. Zbl 1147.26005
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
2
2008
Motzkin numbers, central trinomial coefficients and hybrid polynomials. Zbl 1165.11027
Blasiak, P.; Dattoli, G.; Horzela, A.; Penson, K. A.; Zhukovsky, K.
2
2008
Associated Laguerre polynomials: Monomiality and bi-orthogonal functions. Zbl 1157.33311
Dattoli, G.; Migliorati, M.
1
2008
Legendre polynomials: Lie methods and monomiality. Zbl 1144.33300
Dattoli, G.; Germano, B.; Martinelli, M. R.; Khan, Subuhi; Ricci, P. E.
1
2008
Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials. Zbl 1117.33008
Dattoli, G.; Migliorati, M.; Srivastava, H. M.
24
2007
Operational methods and differential equations with applications to initial-value problems. Zbl 1113.35009
Dattoli, G.; Srivastava, H. M.; Zhukovsky, K.
20
2007
On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions. Zbl 1132.33003
Dattoli, G.; Ricci, P. E.; Khomasuridze, I.
11
2007
Operational methods: An extension from ordinary monomials to multi-dimensional Hermite polynomials. Zbl 1116.33014
Dattoli, G.; Khan, Subuhi
7
2007
Generating functions involving arbitrary products. Zbl 1132.33004
Dattoli, G.; Ricci, P. E.; Khomasuridze, I.; Migliorati, M.
4
2007
Solutions of integro-differential equations and operational methods. Zbl 1118.45007
Dattoli, G.; Migliorati, M.; Khan, Subuhi
3
2007
Generating relations of Hermite-Tricomi functions using a representation of Lie algebra \({\mathcal T}_3\). Zbl 1128.33009
Dattoli, Giuseppe; Khan, Subuhi; Yasmin, Ghazala
2
2007
The monomiality approach to multi-index polynomials in several variables. Zbl 1128.33007
Belingeri, Carlo; Dattoli, Giuseppe; Ricci, Paolo E.
2
2007
Monomiality and multi-index multi-variable special polynomials. Zbl 1125.33002
Belingeri, C.; Dattoli, G.; Khan, Subuhi; Ricci, P. E.
2
2007
Operational methods for integro-differential equations and applications to problems in particle accelerator physics. Zbl 1122.33018
Dattoli, G.; Mezi, L.; Migliorati, M.
1
2007
Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering. Zbl 1187.81155
Blasiak, P.; Dattoli, G.; Horzela, A.; Penson, K. A.
26
2006
A new family of integral transforms and their applications. Zbl 1086.33009
Dattoli, G.; Srivastava, H. M.; Zhukovsky, K.
14
2006
Monomiality, orthogonal and pseudo-orthogonal polynomials. Zbl 1148.33005
Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P.-E.
10
2006
Bernstein polynomials and operational methods. Zbl 1095.33004
Dattoli, G.; Lorenzutta, S.; Cesarano, C.
10
2006
Monomiality, Lie algebras and Laguerre polynomials. Zbl 1121.33014
Dattoli, G.; Khan, Subuhi
6
2006
Laguerre orthogonal functions from an operational point of view. Zbl 1104.33004
Dattoli, G.; Germano, B.; Ricci, P. E.
2
2006
The truncated exponential polynomials, the associated Hermite forms and applications. Zbl 1113.33013
Dattoli, G.; Migliorati, M.
1
2006
Bilateral generating functions and operational methods. Zbl 1103.33007
Dattoli, G.; Ricci, P. E.; Cesarano, C.; Khomasuridze, I.
1
2006
Orthogonality properties of the Hermite and related polynomials. Zbl 1074.33010
Dattoli, G.; Srivastava, H. M.; Zhukovsky, K.
17
2005
Eigenfunctions of Laguerre-type operators and generalized evolution problems. Zbl 1097.34551
Dattoli, G.; He, M. X.; Ricci, P. E.
12
2005
Operational versus Lie-algebraic methods and the theory of multi-variable Hermite polynomials. Zbl 1072.33011
Dattoli, G.; Srivastava, H. M.; Khan, Subuhi
11
2005
On new families of integral transforms for the solution of partial differential equations. Zbl 1082.35011
Dattoli, G.; Martinelli, M. R.; Ricci, P. E.
6
2005
Bessel summation formulae and operational methods. Zbl 1067.33010
Dattoli, G.; Migliorati, M.; Srivastava, H. M.
3
2005
On a class of polynomials generalizing the Laguerre family. Zbl 1094.33007
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente
1
2005
Integral transforms and Chebyshev-like polynomials. Zbl 1033.33004
Dattoli, G.
15
2004
A class of Bessel summation formulas and associated operational methods. Zbl 1084.33002
Dattoli, G.; Migliorati, M.; Srivastava, H. M.
13
2004
Operational methods, special polynomial and functions and solution of partial differential equations. Zbl 1056.35036
Dattoli, G.; Ricci, P. E.; Khomasuridze, I.
13
2004
Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions. Zbl 1054.33006
Dattoli, G.; Germano, B.; Ricci, P. E.
13
2004
On a family of hybrid polynomials. Zbl 1062.33009
Dattoli, G.; Lorenzutta, S.; Ricci, P. E.; Cesarano, C.
10
2004
Integral representation of new familes of polynomials. Zbl 1187.33014
Lorenzutta, S.; Dattoli, Giuseppe; Sacchetti, D.
8
2004
Beyond the monomiality: the monumbrality principle. Zbl 1096.33005
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente
6
2004
Laguerrian eigenvalue problems and Wright functions. Zbl 1070.33009
Dattoli, G.; Arena, A.; Ricci, P. E.
5
2004
Laguerre and generalized Hermite polynomials: the point of view of the operational method. Zbl 1063.33008
Dattoli, G.
4
2004
Fractional derivatives: integral representations and generalized polynomials. Zbl 1093.26004
Dattoli, Giuseppe; Cesarano, Clemente; Ricci, Paolo E.; Vázquez Martínez, Luis
2
2004
Some families of generating functions for the Bessel and related functions. Zbl 1063.33003
Dattoli, G.; Migliorati, M.; Srivastava, H. M.
2
2004
Comments on the theory of Bessel functions with more than one index. Zbl 1050.33004
Dattoli, G.; Ricci, P. E.; Pacciani, P.
2
2004
A note on truncated polynomials. Zbl 1024.33002
Dattoli, Giuseppe; Cesarano, Clemente; Sacchetti, Dario
26
2003
Laguerre-type exponentials, and the relevant \(L\)-circular and \(L\)-hyperbolic functions. Zbl 1045.33001
Dattoli, Giuseppe; Ricci, Paolo E.
21
2003
\(L\)-exponentials and higher order Laguerre polynomials. Zbl 1077.33010
Bernardini, A.; Dattoli, G.; Ricci, P. E.
14
2003
The Lagrange polynomials, the associated generalizations, and the umbral calculus. Zbl 1032.33007
Dattoli, G.; Ricci, P. E.; Cesarano, C.
10
2003
Special polynomials and fractional calculus. Zbl 1081.33011
Dattoli, G.; Ricci, P. E.; Cesarano, C.; Vázquez, L.
9
2003
Generalized shift operators and pseudo-polynomials of fractional order. Zbl 1068.33013
Dattoli, G.; Ricci, P. E.; Sacchetti, D.
9
2003
Operational methods, fractional operators and special polynomials. Zbl 1099.33006
Dattoli, G.
9
2003
On a new family of Hermite polynomials associated to parabolic cylinder functions. Zbl 1026.33010
Dattoli, G.; Cesarano, C.
9
2003
Incomplete 2D Hermite polynomials: Properties and applications. Zbl 1037.33005
Dattoli, G.
9
2003
The Hermite polynomials and the Bessel functions from a general point of view. Zbl 1082.33002
Dattoli, G.; Srivastava, H. M.; Sacchetti, D.
4
2003
Derivation of the Hille-Hardy type formulae and operational methods. Zbl 1072.33006
Dattoli, Giuseppe
3
2003
Two-index multidimensional Gegenbauer polynomials and their integral representations. Zbl 1038.33004
Dattoli, G.; Ricci, P. E.; Srivastava, H. M.
3
2003
From Hermite to Humbert polynomials. Zbl 1065.33006
Dattoli, G.; Lorenzutta, S.; Cesarano, C.
2
2003
On new families of summation formulae of ordinary and generalized Bessel functions. Zbl 1160.33303
Dattoli, G.; Cesarano, C.; Migliorati, M.
1
2003
Differential equations for Appell type polynomials. Zbl 1040.33007
Dattoli, G.; Ricci, P. E.; Cesarano, C.
5
2002
Monumbral polynomials and the associated formalism. Zbl 1030.33006
Dattoli, G.; Ricci, P. E.; Cesarano, C.
5
2002
...and 57 more Documents
all top 5

Cited by 391 Authors

88 Dattoli, Giuseppe
64 Khan, Subuhi
46 Ricci, Paolo Emilio
19 Srivastava, Hari Mohan
19 Yasmin, Ghazala
17 Cesarano, Clemente
15 Riyasat, Mumtaz
15 Torre, Amalia
13 Germano, Bruna
13 Lorenzutta, S.
13 Penson, Karol A.
12 Ali, Mahvish
12 Choi, Junesang
12 Górska, Katarzyna
12 Mansour, Toufik
11 Ansari, Alireza
10 Khan, Waseem Ahmad
9 Horzela, Andrzej
9 Khan, Nabiullah U.
9 Kim, Taekyun
9 Martinelli, Maria Renata
9 Usman, Talha
9 Wani, Shahid Ahmad
8 Babusci, Danilo
8 Chiccoli, Cesare
8 Kim, Dae San
8 Maino, Giuseppe
8 Raza, Nusrat
8 Zhukovsky, K. V.
7 Licciardi, Silvia
7 Natalini, Pierpaolo
7 Pathan, Mahmood Ahmad
7 Sabia, Elio
6 Al-Gonah, Ahmed Ali
6 Araci, Serkan
6 Duchamp, Gerard Henry Edmond
6 Simsek, Yilmaz
5 Aghili, Arman
5 Di Palma, Emanuele
5 Dolgiĭ, Dmitriĭ Viktorovich
5 Garra, Roberto
5 Hassan, Nader Ali Makboul
5 Khan, Rehana
5 Nahid, Tabinda
5 Schork, Matthias
4 Acikgoz, Mehmet
4 Altin, Abdullah
4 Blasiak, Pawel
4 Dere, Rahime
4 Lu, Daqian
4 Migliorati, M.
4 Ozarslan, Mehmet Ali
4 Richetta, M.
4 Sacchetti, Dario
4 Yamaleev, Robert M.
3 Ahmad, Naeem
3 Al-Saad, Mustafa Walid
3 Ben Cheikh, Youssèf
3 Bretti, Gabriella
3 Cação, Isabel
3 Chudasama, Meera H.
3 Faustino, Nelson José Rodrigues
3 Horozov, Emil Ivanov
3 Jabee, Saima
3 Kalla, Shyam Lal
3 Khan, Waseem Ahmed
3 Lattanzi, Ambra
3 Naikoo, Shakeel Ahmad
3 Polito, Federico
3 Shadab, Mohd
3 Sofo, Anthony
3 Solomon, Allan I.
2 Abdalla, M. Sebawe
2 Agarwal, Praveen
2 Aktaş, Rabia
2 Aloui, Baghdadi
2 Aman, Mohd
2 Askari, Hassan Randjbar
2 Beghin, Luisa
2 Behr, Nicolas
2 Bin-Saad, Maged Gumaan
2 Binsaad, Maged G.
2 Cakić, Nenad P.
2 Chaggara, Hamza
2 Darani, Mohammadreza Ahmadi
2 Dave, B. I.
2 Dehesa, Jesús S.
2 Derakhshan, Mohammad Hossein
2 Eelbode, David
2 El-Desouky, Beih S.
2 Galué, Leda
2 Ghanmi, Allal
2 Goubi, Mouloud
2 Haroon, Hiba
2 He, Matthew Xisheng
2 Khajah, H. G.
2 Khan, Mumtaz Ahmad
2 Khomasuridze, I.
2 Leach, Peter Gavin Lawrence
2 Lin, Shyder
...and 291 more Authors
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Cited in 126 Serials

51 Applied Mathematics and Computation
32 Integral Transforms and Special Functions
24 Journal of Mathematical Analysis and Applications
24 Journal of Mathematical Physics
19 Mathematical and Computer Modelling
15 Journal of Computational and Applied Mathematics
13 Tbilisi Mathematical Journal
11 Reports on Mathematical Physics
9 Computers & Mathematics with Applications
7 Advances in Difference Equations
7 Symmetry
7 Axioms
6 Georgian Mathematical Journal
6 Advances in Applied Clifford Algebras
6 International Journal of Applied and Computational Mathematics
5 Theoretical and Mathematical Physics
5 Applied Mathematics Letters
5 Mediterranean Journal of Mathematics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 International Journal of Mathematics and Mathematical Sciences
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Abstract and Applied Analysis
4 Journal of Inequalities and Applications
4 Fractional Calculus & Applied Analysis
4 Asian-European Journal of Mathematics
4 Bollettino dell’Unione Matematica Italiana
3 Mathematical Methods in the Applied Sciences
3 Russian Journal of Mathematical Physics
3 Turkish Journal of Mathematics
3 Honam Mathematical Journal
3 Journal of Integer Sequences
3 Communications of the Korean Mathematical Society
3 Communications in Nonlinear Science and Numerical Simulation
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Advances in Mathematical Physics
3 Afrika Matematika
3 Journal of Classical Analysis
3 Open Mathematics
2 Fasciculi Mathematici
2 Journal of Number Theory
2 Note di Matematica
2 Constructive Approximation
2 Journal of Scientific Computing
2 Journal of Mathematical Sciences (New York)
2 Journal of Interdisciplinary Mathematics
2 International Journal of Modern Physics C
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Boundary Value Problems
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Applications and Applied Mathematics
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Nonlinear Science and Applications
2 Analysis and Mathematical Physics
2 Communications in Applied and Industrial Mathematics
2 Mathematics
2 International Journal of Analysis and Applications
2 Cogent Mathematics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Systems Science
1 International Journal of Theoretical Physics
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Periodica Mathematica Hungarica
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of Multivariate Analysis
1 Theoretical Population Biology
1 Tohoku Mathematical Journal. Second Series
1 Bulletin of the Korean Mathematical Society
1 Stochastic Analysis and Applications
1 Bulletin of the Iranian Mathematical Society
1 Numerical Methods for Partial Differential Equations
1 Queueing Systems
1 Forum Mathematicum
1 Signal Processing
1 Annals of Physics
1 Linear Algebra and its Applications
1 SIAM Review
1 Stochastic Processes and their Applications
1 Stochastics and Stochastics Reports
1 Celestial Mechanics and Dynamical Astronomy
1 Indagationes Mathematicae. New Series
1 Computational and Applied Mathematics
1 Journal of Difference Equations and Applications
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 Journal of Applied Analysis
1 The Ramanujan Journal
1 Mathematical Physics, Analysis and Geometry
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Discrete Dynamics in Nature and Society
1 Analysis (München)
1 Acta et Commentationes Universitatis Tartuensis de Mathematica
1 Journal of High Energy Physics
1 International Journal of Nonlinear Sciences and Numerical Simulation
...and 26 more Serials
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Cited in 50 Fields

294 Special functions (33-XX)
84 Number theory (11-XX)
59 Combinatorics (05-XX)
54 Partial differential equations (35-XX)
37 Quantum theory (81-XX)
33 Real functions (26-XX)
28 Ordinary differential equations (34-XX)
28 Integral transforms, operational calculus (44-XX)
21 Numerical analysis (65-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Integral equations (45-XX)
12 Approximations and expansions (41-XX)
11 Topological groups, Lie groups (22-XX)
11 Functions of a complex variable (30-XX)
11 Operator theory (47-XX)
11 Probability theory and stochastic processes (60-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Nonassociative rings and algebras (17-XX)
6 Difference and functional equations (39-XX)
6 Biology and other natural sciences (92-XX)
5 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
4 Field theory and polynomials (12-XX)
4 Functional analysis (46-XX)
3 Associative rings and algebras (16-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Sequences, series, summability (40-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Potential theory (31-XX)
2 Abstract harmonic analysis (43-XX)
2 Relativity and gravitational theory (83-XX)
1 General algebraic systems (08-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Citations by Year