A new family of integral transforms and their applications

Integral Transforms and Special Functions

Volumn 17, Issue 1, 2006, Pages 31-37

  Dattoli, G ^a   Srivastava, H M ^b   Zhukovsky, K ^c  

^a ENEA   (Italy)

^b UNIVERSITY OF VICTORIA   (Canada)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Derivative and multiplicative operators; Gauss Weierstrass transform; Initial value problems; Integral transforms; Laguerre derivatives; Laguerre polynomials; Monomiality principle; Operational methods; Partial differential equations; Special functions

Indexed keywords

EID: 30344484568     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652460500389081     Document Type: Article

References (6)

1. Dattoli, G., 2000, Hermite-Bessel and Laguerre-Bessel functions: A by-product of the monomiality principle. In: D. Cocolichhio, G. Dattoli and H. M. Srivastava (Eds) (Rome: Aracne Editrice), Proceedings of the Melfi Workshop on Advanced Special Functions and Applications Melfi, Italy, 9-12 May 1999, pp. 147-164.
2. Srivastava, H.M. and Manocha, H.L. 1984, A Treatise on Generating Functions, Halsted Press ((Ellis Horwood Limited, Chichester), New York, Chichester, Brisbane and Toronto: John Wiley and Sons).
3. Kondo, J., 1991, Integral Equations, Oxford Applied Mathematics and Computing Science Series (Oxford, London and New York: Clarendon (Oxford University) Press).
4. Dattoli, G., Ottaviani, P.L., Torre, A. and Vázquez, L., 1997, 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 Soc. Ital. Fis. (Ser. 4), 20(2), 1-133.
5. Watson, G.N., 1944, A Treatise on the Theory of Bessel Functions (2nd edn) (Cambridge, London and New York: Cambridge University Press).
6. Appell, P. and Kampé de Fériet, J., 1926, Fonctions Hypergéométriques et Hypersphériques; Polynômes d'Hermite (Paris: Gauthier-Villars).