Relazione sulla ricerca

PUBBLICAZIONI DEL PROF. PAOLO EMILIO RICCI

W. Goh, M.X. He, P.E. Ricci, On the universal zero attractor of the Tribonacci-related polynomials, Calcolo, 46 (2009), 95 -129.

G. Dattoli - B. Germano, P.E. Ricci, Hermite polynomials with more than two variables and associated bi-orthogonal functions, Integral Transforms Spec. Funct., 20 (2009),

17- 22.

P. Natalini, P.E. Ricci, The Laplacian in stretched polar co-ordinates and Applications, Lecture notes of TICMI, 10, (2009), 7-19.

I.N. Tavkhelidze, P.E. Ricci, Classification of a Wide Set of Geometric Figures, Surfaces and Lines (Trajectories), Rend. Acc. Naz. Sc. dei XL, Mem. Mat. Appl., 124^, XXX

G. Dattoli, B. Germano, M.R. Martinelli, P.E. Ricci, Monomiality and Partial Differential Equations, Math. Comput. Modelling, 50 (2009). 1332-1337.

P. Natalini, R. Patrizi, P.E. Ricci, Heat problems for a starlike shaped plate, Appl. Math. Comput., 215 (2009), 495-502.

D. Caratelli, P.E. Ricci, The Dirichlet problem for the Laplace equation in a starlike domain, Lecture notes of TICMI, 10, (2009), 35-49.

G. Dattoli, B. Germano, M.R. Martinelli, P.E. Ricci, Negative derivative and special functions, Appl. Math. Comput., 217 (2010), 3924-3928.

C. Cassisa, I.N. Tavkhelidze, P.E. Ricci, Operational methods and solutions of boundary value problems with periodic data, Journal of Mathematical Sciences, 157 (2009), 85-97.

I.N. Tavkhelidze, P.E. Ricci, An introduction to operational techniques and special polynomials, Journal of Mathematical Sciences, February 2009, Volume 157, Issue 1, 161-189.

D. Caratelli, B. Germano, M.X. He, P.E. Ricci, Solution of the Dirichlet problem for the Laplace equation in a general cylinder, Lecture notes of TICMI, 10 (2009), 20-34.

D. Caratelli, P.E. Ricci, The Dirichlet problem for the Helmholtz equation in a starlike domain, Lecture notes of TICMI, 10, (2009), 50-59.

D. Caratelli, P. Natalini, P.E. Ricci, Fourier solution of the wave equation for a starlike shaped vibrating membrane, Comput. Math. Appl., 59 (2010), 176-184.

I.N. Tavkhelidze, P.E. Ricci, About some geometric characteristic of the generalized Moebius Listing's surfaces GML^n_2, Georgian Math. J., (to appear).

I.N. Tavkhelidze, C. Cassisa, P.E. Ricci, About connection of generalized Moebius Listing's surfaces GML^n_2 with sets of Knots or Links, Lecture Notes of Seminario Interdisciplinare di Matematica, 9 (2010), 187-200.

C. Belingeri, Y. Ben Cheikh, P.E. Ricci, A set of multi-variable polynomials generalizing the Gegenbauer polynomials, Lecture Notes of Seminario Interdisciplinare di Matematica, 9 (2010), 173-186.

D. Bini, C. Cherubini, S. Filippi, A. Gizzi, P.E. Ricci, On the universality of spiral waves, Comm. Computat. Physics, 8 (2010), 610-622.

M.X. He, S.V. Petoukhov, P.E. Ricci, Modeling on Potential Energy Surface of Proteins, Lecture Notes of Seminario Interdisciplinare di Matematica, 9 (2010), 99-110.

I. Cacao, P.E. Ricci, Monomiality principle and eigenfunctions of differential operators, Int. J. Math. Math. Sci., Vol. 2011, Article ID 856327, 15 pages.

D. Caratelli, P. Natalini, A. Yarovoy, P.E. Ricci, The Neumann problem for the Helmholtz equation in a starlike planar domain, App. Math. Comput., 216 (2010), 556-564.

D. Caratelli, P. Natalini, A. Yarovoy, P.E. Ricci, Fourier solution of the 2D Neumann problem for the Helmholtz equation, Lecture Notes of Seminario Interdisciplinare di Matematica, 9 (2010), 163-172.

D. Caratelli, P. Natalini, I. Tavkhelidze, J. Gielis, P.E. Ricci, The Robin problem for the Helmholtz equation in a starlike planar domain, Georgian Math. J., 18 (2011), 465-479.

G. Dattoli, B. Germano, M.R. Martinelli, , P.E. Ricci, A novel theory of Legendre polynomials, Math. Comput. Modelling, 54 (2011), 80-87.

G. Dattoli, B. Germano, M.R. Martinelli, P.E. Ricci, The second solution of the Hermite equation and the monomiality formalism, Pure Mathematical Sciences,2 (2013), no. 4, 147-152.

D. Caratelli, J. Gielis, P.E. Ricci, The Robin problem for the Laplace equation in a three-dimensional starlike domain, Appl. Math. Comput., 218 (2011), 713-719.

D. Caratelli, J. Gielis, P.E. Ricci, Fourier-like solution of the Robin problem for the Laplace equation in three-dimensional Gielis domains, J. Pure Appl. Math. Adv. Appl., (to appear).

G. Dattoli, B. Germano, M.R. Martinelli, P.E. Ricci, Sheffer and non-Sheffer polynomial families, Int. J. Math. Math. Sci., Volume 2012 (2012), Article ID 323725.

J. Gielis, D. Caratelli, Y. Fougerolle, T. Gerats, I. Tavkhelidze, P.E. Ricci, Universal natural shapes: from unifying shape description to simple methods for shape analysis and boundary value problems, PLoSONE, September 2012 Volume 7, Issue 9, e29324.

G. Dattoli, B. Germano, M.R. Martinelli, P.E. Ricci, Touchard like polynomials and generalized Stirling numbers, Appl. Math. Comput., 218 (2012), 6661-6665.

D. Caratelli, J. Gielis, P.E. Ricci, Fourier-like solution of the Robin problem for the Laplace equation in three dimensional Gielis domains, J. Pure Appl. Math. Adv. Appl., (to appear).

D. Babusci, G. Dattoli, B. Germano, M.R. Martinelli, P.E. Ricci, Integrals of Bessel functions, Appl. Math. Letters, 26 (2013) 351–354.

I. Tavkhelidze, C. Cassisa, J. Gielis, P.E. Ricci, About “Bulky” Links, generated by Generalized Moebius Listing's bodies GML_3^n, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 24 (2013), 1-28.

G. Dattoli, B. Germano, M.R. Martinelli, P.E. Ricci, The second solution of the Hermite equation and the monomiality formalism, (2012), Pure Mathematical Sciences, 2, (2013), no. 4, 147-152.

D. Caratelli, J. Gielis, I. Tavkhelidze, P.E. Ricci, Spherical Harmonic Solution of the Robin Problem for the Helmholtz Equation in a Supershaped Shell, Applied Mathematics, 4 (2013), 263-270.

D. Caratelli, J. Gielis, I. Tavkhelidze and P.E. Ricci, The Dirichlet Problem for the Laplace Equation in Supershaped Annuli, Boundary Value Problems 2013, 2013:113 doi:10.1186/1687-2770-2013-113

D. Babusci, G. Dattoli, M. Quattromini, P.E. Ricci, Dirac factorization and fractional calculus, App. Math. Comput., 218 (2011), 1495-1497.

J. Gielis, R. Verhulst, D. Caratelli, P.E. Ricci, and I. Tavkhelidze, On means, polynomials and special functions, The Teaching of Mathematics, Vol. XVII, 1, (2014), 1-20.

D. Caratelli, J. Gielis, I. Tavkhelidze, P.E. Ricci, Fourier-Hankel Solution of the Robin Problem for the Helmholtz Equation in Supershaped Annular Domains, Boundary Value Problems (2013), 253-263.

A. Torre, G. Dattoli, M. Quattromini, P.E. Ricci, D. Babusci, Extension of the Dirac factorization and relevant applications, Lecture Notes of TICMI, Vol. 13, 2012, 1-15.

J. Gielis, I. Tavkhelidze, P.E. Ricci, Veliki uzlovi i poveznice dobivene rezanjem generaliziranih Möbius-listing tijela, Poučak, 51 (2013), 10-18, (in croato).

P.E. Ricci, Tecniche operazionali, Polinomi e Funzioni Speciali, Aracne, Roma, (in corso di stampa).

P.E. Ricci, Forme canoniche e Funzioni di Matrice. Teoria di Jordan, Aracne, Roma, (in corso di stampa).

P.E. Ricci, Esercizi di Esame di Analisi Matematica, Aracne, Roma.