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Volumn 118, Issue 1-2, 2000, Pages 111-123

Generalized polynomials, operational identities and their applications

(1)  Dattoli, G a  

a ENEA   (Italy)

Author keywords

33C65; Classical orthogonal polynomials; Operational calculus; Special functions

Indexed keywords


EID: 0040788515     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00283-1     Document Type: Article
Times cited : (157)

References (18)
  • 2
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    • A class of generating functions
    • Carlitz L. A class of generating functions. SIAM J. Math. Anal. 8:1977;518-532.
    • (1977) SIAM J. Math. Anal. , vol.8 , pp. 518-532
    • Carlitz, L.1
  • 3
    • 0010123287 scopus 로고    scopus 로고
    • Theory of multiindex multivariable Bessel functions and Hermite polynomials
    • Dattoli G., Lorenzutta S., Maino G., Torre A. Theory of multiindex multivariable Bessel functions and Hermite polynomials. Matematiche (Catania). 52:1997;179-197.
    • (1997) Matematiche (Catania) , vol.52 , pp. 179-197
    • Dattoli, G.1    Lorenzutta, S.2    Maino, G.3    Torre, A.4
  • 4
    • 0040480805 scopus 로고    scopus 로고
    • Two-variable Lagrange expansion and new families of mixed generating functions
    • (N.S.), to appear
    • G. Dattoli, S. Lorenzutta, D. Sacchetti, Two-variable Lagrange expansion and new families of mixed generating functions, Ann. Univ. Ferrara Sez. VII (N.S.), to appear.
    • Ann. Univ. Ferrara Sez. , vol.7
    • Dattoli, G.1    Lorenzutta, S.2    Sacchetti, D.3
  • 6
    • 0040480768 scopus 로고    scopus 로고
    • Miscellaneous identities of generalized Hermite polynomials
    • Dattoli G., Lorenzutta S., Torre A. Miscellaneous identities of generalized Hermite polynomials. Matematiche (Catania). 52:1997;337-343.
    • (1997) Matematiche (Catania) , vol.52 , pp. 337-343
    • Dattoli, G.1    Lorenzutta, S.2    Torre, A.3
  • 7
    • 0039233437 scopus 로고    scopus 로고
    • The generalized Laguerre polynomials, the associated Bessel functions and application to propagation problems
    • to appear
    • G. Dattoli, A.M. Mancho, A. Torre, The generalized Laguerre polynomials, the associated Bessel functions and application to propagation problems, Rad. Phys. Chem., to appear.
    • Rad. Phys. Chem.
    • Dattoli, G.1    Mancho, A.M.2    Torre, A.3
  • 8
    • 0039862091 scopus 로고    scopus 로고
    • Evolution operator equations, integration with algebraic and finite difference methods: Applications to physical problems in classical and quantum mechanics
    • Dattoli G., Ottaviani P.L., Torre A., Vazquez L. Evolution operator equations, integration with algebraic and finite difference methods: applications to physical problems in classical and quantum mechanics. Riv. Nuovo Cimento. 20:1997;1-133.
    • (1997) Riv. Nuovo Cimento , vol.20 , pp. 1-133
    • Dattoli, G.1    Ottaviani, P.L.2    Torre, A.3    Vazquez, L.4
  • 11
    • 0039835312 scopus 로고    scopus 로고
    • Generalised generating functions and Lienard-Wiechert integral
    • Dattoli G., Torre A. Generalised generating functions and Lienard-Wiechert integral. Nuovo Cimento. 113B:1998;271-273.
    • (1998) Nuovo Cimento , vol.113 , pp. 271-273
    • Dattoli, G.1    Torre, A.2
  • 13
    • 0002528694 scopus 로고    scopus 로고
    • Operational rules and arbitrary order Hermite generating functions
    • Dattoli G., Torre A., Carpanese M. Operational rules and arbitrary order Hermite generating functions. J. Math. Anal. Appl. 227:1998;98-111.
    • (1998) J. Math. Anal. Appl. , vol.227 , pp. 98-111
    • Dattoli, G.1    Torre, A.2    Carpanese, M.3
  • 16
    • 0002696064 scopus 로고
    • Arbitrary order generating functions for obtaining higher order coherent and squeezed states
    • Nieto M.N., Truax R.D. Arbitrary order generating functions for obtaining higher order coherent and squeezed states. Phys. Lett. A. 208:1995;8-19.
    • (1995) Phys. Lett. A , vol.208 , pp. 8-19
    • Nieto, M.N.1    Truax, R.D.2
  • 17
    • 84972500413 scopus 로고
    • Some generalizations of Carlitz' theorem
    • Srivastava H.M. Some generalizations of Carlitz' theorem. Pacific. J. Math. 1979;471-477.
    • (1979) Pacific. J. Math. , pp. 471-477
    • Srivastava, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.