Eigenfunctions of Laguerre-type operators and generalized evolution problems

Mathematical and Computer Modelling

Volumn 42, Issue 11-12, 2005, Pages 1263-1268

  Dattoli, G ^a   He, M X ^b   Ricci, P E ^c  

^a ENEA   (Italy)

^b NOVA SOUTHEASTERN UNIVERSITY   (United States)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Eigenfunctions; Laguerre derivative; Laguerre type evolution problems

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

DIFFERENTIAL OPERATORS; LAGUERRE DERIVATIVE; LAGUERRE-TYPE EVOLUTION PROBLEM;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 28844503476     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.01.034     Document Type: Article

References (15)

1. L.C. Andrews Special Functions of Mathematics for Engineers 1998 Oxford Univ. Press
2. G. Dattoli Hermite-Bessel and Laguerre-Bessel functions: A by-product of the monomiality principle D. Cocolicchio G. Dattoli H.M. Srivastava Proc. of the Workshop on "Advanced Special Functions and Applications" 2000 ARACNE Editrice New York
3. P. Appell, and J. Kampé de Fériet Fonctions Hypergéométriques et Hypersphériques. Polynômes d'Hermite 1926 Gauthier-Villars Rome
4. H.W. Gould, and A.T. Hopper Operational formulas connected with two generalizations of Hermite Polynomials Duke Math. J. 29 1962 51 62
5. H.M. Srivastava, and H.L. Manocha A Treatise on Generating Functions 1984 Wiley Paris
6. P.E. Ricci Tecniche operatoriali e Funzioni Speciali 2001 Dipartimento di Matematica, Università di Roma "La Sapienza" New York
7. G. Dattoli, P.E. Ricci and C. Cesarano, On a class of polynomials generalizing the Laguerre family, J. Comput. Anal. Appl. (to appear).
8. G. Dattoli, and P.E. Ricci Laguerre-type exponentials and the relevant L-circular and L-hyperbolic functions Georgian Math. J. 10 2003 481 494
9. J. Riordan An Introduction to Combinatorial Analysis 1958 J. Wiley & Sons
10. G. Dattoli, P.E. Ricci, and P. Pacciani Comments on the theory of Bessel functions with more than one index Appl. Math. Comput. 150 2004 603 610
11. A. Bernardini, G. Dattoli, and P.E. Ricci L-exponentials and higher order Laguerre polynomials Proceedings of the Fourth International Conference of the Society for Special Functions and their Applications 2003 Soc. Spec. Funct. Appl. (SSFA) Chichester 13 26
12. C. Cesarano, B. Germano and P.E. Ricci, Laguerre-type Bessel functions, Integral Transforms Spec. Funct. (to appear).
13. G. Bretti, C. Cesarano, and P.E. Ricci Laguerre-type exponentials and higher-order Appell polynomials Computers Math. Applic. 48 5/6 2004 833 839
14. G. Bretti, and P. Natalini Particular solutions for a class of ODE related to the L-exponential functions Georgian Math. J. 11 2004 59 67
15. G. Dattoli, A. Arena, and P.E. Ricci Laguerrian eigenvalue problems and Wright functions Mathl. Comput. Modelling 40 7/8 2004 877 881