Generalized Hermite polynomials and supergaussian forms

Journal of Mathematical Analysis and Applications

Volumn 203, Issue 3, 1996, Pages 597-609

  Dattoli, G ^a   Lorenzutta, S ^a,b   Maino, G ^a,b   Torre, A ^a   Cesarano, C ^a  

^a ENEA   (Italy)

^b ENEA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030295916     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0399     Document Type: Article

References (21)

1. 1. Ch. Hermite, C. R. Acad. Sci. Paris 58 (1864), 93.
2. 2. Ch. Hermite, "Sur un Nouveau Développement en series des Fonctions," Vol. II, Euvres, Paris, 1865, pp. 293-308.
3. 3. G. Dattoli, S. Lorenzutta, G. Maino, and A. Torre, J. Math. Phys. 85 (1994), 4451.
4. 4. G. Dattoli, S. Lorenzutta, G. Maino, and A. Torre, Annals of Numerical Analysis, 2 (1995), 211.
5. 5. P. Appell and J. Kampé de Fériet, Polynome d'Hermite, "Fonctions Hypergéométriques et Hypersphériques," Gauthier-Villars, Paris, 1926.
6. 6. P. Humbert, C. R. Acad. Sci. Paris 171 (1910), 428.
7. 7. H. W. Gould and A. T. Hopper, Duke Math. J. 29 (1962), 51.
8. 8. See, e.g., G. Dattoli, A. Renieri, and A. Torre, "Lectures on Free Electron Laser Theory and Related Topics," World Scientific, Singapore, 1993.
9. 9. W. A. Paciorek and G. Chapuis, Acta Cryst. Sect. A 50 (1994), 194.
10. 10. G. Dattoli, C. Chiccoli, S. Lorenzutta, G. Maino, M. Richetta, and A. Torre, J. Math. Phys. 33 (1992), 25.
11. 11. G. Dattoli, C. Chiccoli, S. Lorenzutta, G. Maino, and A. Torre, Comput. Math. Appl., to be published.
12. 12. G. Dattoli, C. Chiccoli, S. Lorenzutta, G. Maino, A. Torre, and G. Voykov, J. Math. Phys., to be published.
13. 13. G. Dattoli, C. Chiccoli, S. Lorenzutta, G. Maino, and A. Torre, Comput. Math. Appl. 184 (1994), 201.
14. 14. G. Dattoli, C. Chiccoli, S. Lorenzutta, G. Maino, and A. Torre, J. Math. Anal. Appl. 178 (1993), 509.
15. 15. E. T. Bell, Ann. Math. 35 (1934), 258.
16. 16. S. De Silvestri, P. Laporta, V. Magni, and O. Svelto, IEEE J. Quantum Electron. 24 (1988), 1172.
17. 17. K. S. Kölbig and W. Strampp, Report CN/93/7, CERN Computing and Networks Division, April 1993.
18. 18. J. Riordan, "An Introduction to Combinatorial Analysis," Wiley, New York, 1958, p. 35.
19. 19. M. Abramowitz and J. A. Stegun, Eds., "Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables," Dover, New York, 1972, p. 823.
20. 20. L. Comtet, "Advanced Combinatorics," Reidel, Dordrecht, 1974; J. Riordan, "Combinatorial Identities," Wiley, New York, 1966.
21. 20. L. Comtet, "Advanced Combinatorics," Reidel, Dordrecht, 1974; J. Riordan, "Combinatorial Identities," Wiley, New York, 1966.