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Volumn 141, Issue 1, 2003, Pages 215-224

Generalized shift operators and pseudo-polynomials of fractional order

Author keywords

Bessel functions; Exponential operators; Fractional differential operators; Hermite Kamp de F riet (or Gould Hopper) polynomials

Indexed keywords

FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0037457770     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00334-X     Document Type: Conference Paper
Times cited : (15)

References (10)
  • 1
    • 0003509343 scopus 로고
    • Fonctions hypergéométriques et hypersphériques
    • Paris: Gauthier-Villars
    • Appell P., Kampé de Fériet J. Fonctions hypergéométriques et hypersphériques. Polynômes d'Hermite. 1926;Gauthier-Villars, Paris.
    • (1926) Polynômes d'Hermite
    • Appell, P.1    Kampé de Fériet, J.2
  • 3
    • 51249176676 scopus 로고
    • An algebraic point of view to operatorial methods in optics
    • Dattoli G., Gallardo J.C., Torre A. An algebraic point of view to operatorial methods in optics. Riv. Nuovo Cimento. 11:1988;1-85.
    • (1988) Riv. Nuovo Cimento , vol.11 , pp. 1-85
    • Dattoli, G.1    Gallardo, J.C.2    Torre, A.3
  • 4
    • 0042638530 scopus 로고
    • Exponential operators and parameter differentiation in quantum physics
    • Wilcox R.M. Exponential operators and parameter differentiation in quantum physics. J. Math. Phys. 8:1967;962-982.
    • (1967) J. Math. Phys. , vol.8 , pp. 962-982
    • Wilcox, R.M.1
  • 5
    • 0039862091 scopus 로고    scopus 로고
    • Evolution operators equations: Integration with algebraic and finite difference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory
    • Dattoli G., Ottaviani P.L., Torre A., Vazquez L. Evolution operators equations: Integration with algebraic and finite difference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory. 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
  • 7
    • 2242427201 scopus 로고    scopus 로고
    • Exponential operators and generalized difference equations
    • Dattoli G., Levi D. Exponential operators and generalized difference equations. Riv. Nuovo Cimento B. 115:2000;653-662.
    • (2000) Riv. Nuovo Cimento B , vol.115 , pp. 653-662
    • Dattoli, G.1    Levi, D.2
  • 9
    • 0012719785 scopus 로고
    • The generalized Bessel function of order greater than one
    • Wright E.M. The generalized Bessel function of order greater than one. Quart. J. Math. Oxford Ser. 11:1940;36-48.
    • (1940) Quart. J. Math. Oxford Ser. , vol.11 , pp. 36-48
    • Wright, E.M.1
  • 10
    • 0002238866 scopus 로고    scopus 로고
    • Hermite-Bessel and Laguerre-Bessel functions: A by-product of the monomiality principle
    • D. Cocolicchio, G. Dattoli, H.M. Srivastava (Eds.), Advanced Special Functions and Applications, Melfi, 9-12 May Rome: Aracne Editrice
    • Dattoli G. Hermite-Bessel and Laguerre-Bessel functions: A by-product of the monomiality principle. Cocolicchio D., Dattoli G., Srivastava H.M. Advanced Special Functions and Applications, Proceedings of the Melfi School on Advanced Topics in Mathematics and Physics, Melfi, 9-12 May 1999. 2000;147-164 Aracne Editrice, Rome.
    • (1999) Proceedings of the Melfi School on Advanced Topics in Mathematics and Physics , pp. 147-164
    • Dattoli, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.