Operational methods, fractional operators and special polynomials

Applied Mathematics and Computation

Volumn 141, Issue 1, 2003, Pages 151-159

  Dattoli, G ^a  

^a ENEA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

LAGUERRE POLYNOMIALS;

POLYNOMIALS;

EID: 0037457786     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00329-6     Document Type: Conference Paper

References (10)

1. G. Dattoli, Hermite-Bessel and Laguerre-Bessel functions: a by-product of the monomiality principle, in: D. Cocolicchio, G. Dattoli, H.M. Srivastava (Eds.), Advanced Special Functions and Applications (Proceedings of the Melfi School on Advanced Topics in Mathematics and Physics; Melfi 9-12 May, 1999) Aracne Editrice, Rome, 2000, pp. 147-164.
2. Wünsche A. Laguerre 2-D functions and their application in quantum optics. J. Phys. A: Math. Gen. 31:1998;8267-8287.
3. Wünsche A. Transformations of Laguerre 2 D-polynomials with applications to quasi probabilities. J. Phys. A: Math. Gen. 32:1999;3179-3199.
4. 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 and quantum field theory. Riv. Nuovo Cimento. 2:1997;1-133.
5. Wyss W. The fractional Black-Scholes equation. Fract. Calc. Appl. Anal. 3:2000;51-61.
6. Srivastava H.M., Manocha H.L. A Treatise on Generating Functions. 1984;Wiley, New York.
7. G. Dattoli, P.E. Ricci, C. Cesarano, Monumbral polynomials and associated formalism, Integral Transform. Spec. Funct., to appear.
8. Andrews L.C. Special Functions for Engineers and Applied Mathematicians. 1985;Macmillan, New York.
9. Oldham K.B.H., Spanier J. The Fractional Calculus. 1974;Academic Press, New York.
10. Doetsch G. Handbuch der Laplace Transformation. 1950;Birkhäuser, Basel.