Raising and lowering operators, factorization and differential/difference operators of hypergeometric type

Journal of Physics A: Mathematical and General

Volumn 34, Issue 3, 2001, Pages 569-588

  Lorente, Miguel ^a  

^a UNIVERSITY OF OVIEDO   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035951739     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/3/316     Document Type: Article

References (23)

1. Infeld L and Hull T E 1951 The factorization method Rev. Mod. Phys. 23 21-68
2. Miller W 1969 Lie theory and difference equations 1 J. Math. Anal. Appl. 28 383-99 Miller W 1968 Lie Theory Special Functions (New York: Academic)
3. Miller W 1969 Lie theory and difference equations 1 J. Math. Anal. Appl. 28 383-99 Miller W 1968 Lie Theory Special Functions (New York: Academic)
4. Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics (Basel: Birkhäuser)
5. Nikiforov A F, Suslov S K and Uvarov V B 1991 Classical Orthogonal Polynomials of a Discrete Variable (Berlin: Springer)
6. Atakishiev N M and Suslov S K 1991 Difference analogs of the harmonic oscillator Theor. Math. Phys. 85 1055-62
7. Atakishiyev N M and Wolf K B 1994 Aproximation on a finite set of points through Kravchuk functions Rev. Mex. Fis. 40 366-77
8. Atakishiev N A, Jafarov E I, Nagiyev S M and Wolf K 1998 Meixner oscillators Rev. Mex. Fis. 44 235-44
9. Atakishiyev N M, Vicent L E and Wolf K B 1999 Continuous vs discrete fractional Fourier transform J. Comput. Appl. Math. 107 73-95
10. Smirnov Y F 1996 On factorization and algebraization of difference equations of hypergeometric type Proc. Int. Workshop on Orthogonal Polynomials in Math. Physics ed M Alfaro et al (in honour of Professor André Ronveaux) Universidad Carlos III de Madrid
11. Bangerezako G and Magnus A P 1999 The factorization method for the classical polynomials Int. Workshop on Self-Similar Systems ed V B Priezzhev and V P Spiridonov (Dubna: JINR)
12. Bangerezako G 1999 The factorization method for the Askey-Wilson polynomials J. Comput. Appl. Math. 107 219-33
13. Bangerezako G 1999 Discrete factorization techniques for orthogonal polynomials on lattices Dissertation Université Catholique Louvain, Louvain-la-Neuve
14. Lorente M 1997 Quantum mechanics on discrete space and time New Developments on Fundamental Problems in Quantum Physics ed M Ferrero and A Van der Merwe (Dordrecht: Kluwer) pp 213-24
15. Lorente M 1999 Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables Electr. Trans. Numer. Anal. 9 102-11
16. Lorente M and Kramer P 1999 Representations of the discrete inhomogeneous Lorentz group and Dirac wave equation on the lattice J. Phys. A: Math. Gen. 32 2481-97
17. Atakishiev N M, Rahman M and Suslov S K 1995 On classical orthogonal polynomials Constr. Approx. 11 181-226
18. Smirnov Y F 1998 Finite difference equations and factorization method Proc. 5th Wigner Symp. (Vienna) ed P Kasperkovitz and D Grau (Singapore: World Scientific)
19. Smirnov Y F 1999 Factorization method: new aspects Rev. Mex. Fis. (Suppl. 2) 45 1-6
20. Spiridonov V et al 1997 J. Phys. A: Math. Gen. 30 L15-21 Spiridonov V et al 1993 Lett. Math. Phys. 29 63 Spiridonov V et al 1994 J. Phys. A: Math. Gen. 27 L669
21. Spiridonov V et al 1997 J. Phys. A: Math. Gen. 30 L15-21 Spiridonov V et al 1993 Lett. Math. Phys. 29 63 Spiridonov V et al 1994 J. Phys. A: Math. Gen. 27 L669
22. Spiridonov V et al 1997 J. Phys. A: Math. Gen. 30 L15-21 Spiridonov V et al 1993 Lett. Math. Phys. 29 63 Spiridonov V et al 1994 J. Phys. A: Math. Gen. 27 L669
23. Koekoek R and Swarttouw R F 1998 The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue Report no 98-17 Delft University of Technology, Faculty of Information Technology and Systems, Department of Technical Mathematics and Informatics (on-line version at Preprint http://aw.twi.tudelft.nl/~koekoek/askey/index.html)