On a q-generalization of circular and hyperbolic functions

Journal of Physics A: Mathematical and General

Volumn 31, Issue 23, 1998, Pages 5281-5288

  Borges, Ernesto P ^a,b  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b FEDERAL UNIVERSITY OF BAHIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032510937     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/23/011     Document Type: Article

References (52)

1. McAnally D S 1995 J. Math. Phys. 36 546-73
2. Rogers L J 1894 Proc. London Math. Soc. 25 318-43
3. Floreanini R and Vinet L 1991 Lett. Math. Phys. 22 45-54
4. Floreanini R and Vinet L 1993 Ann. Phys. 221 53-70
5. Biedenharn L C 1989 J. Phys. A: Math. Gen. 22 L873-8 Macfarlane A J 1989 J. Phys. A: Math. Gen. 22 4581-8 Floreanini R and Vinet L 1993 Phys. Lett. A 180 393-401 Floreanini R, LeTourneux J and Vinet L 1995 J. Phys. A: Math. Gen. 28 L287-93
6. Biedenharn L C 1989 J. Phys. A: Math. Gen. 22 L873-8 Macfarlane A J 1989 J. Phys. A: Math. Gen. 22 4581-8 Floreanini R and Vinet L 1993 Phys. Lett. A 180 393-401 Floreanini R, LeTourneux J and Vinet L 1995 J. Phys. A: Math. Gen. 28 L287-93
7. Biedenharn L C 1989 J. Phys. A: Math. Gen. 22 L873-8 Macfarlane A J 1989 J. Phys. A: Math. Gen. 22 4581-8 Floreanini R and Vinet L 1993 Phys. Lett. A 180 393-401 Floreanini R, LeTourneux J and Vinet L 1995 J. Phys. A: Math. Gen. 28 L287-93
8. Biedenharn L C 1989 J. Phys. A: Math. Gen. 22 L873-8 Macfarlane A J 1989 J. Phys. A: Math. Gen. 22 4581-8 Floreanini R and Vinet L 1993 Phys. Lett. A 180 393-401 Floreanini R, LeTourneux J and Vinet L 1995 J. Phys. A: Math. Gen. 28 L287-93
9. Atakishiyev N M 1996 J. Phys. A: Math. Gen. 29 L223-7
10. Atakishiyev N M 1996 J Phys. A: Math. Gen. 29 7177-81
11. Atakishiyev N M and Feinsilver P 1996 J. Phys. A: Math. Gen. 29 1659-64
12. Kassel C 1995 Quantum Groups (New York: Springer)
13. Tsallis C 1994 Phys. Lett. A 195 329-34
14. Erzan A 1997 Phys. Lett. A 225 235-8
15. Abe S 1997 Phys. Lett. A 224 326-30
16. Tsallis C 1988 J. Stat. Phys. 52 479-87
17. Curado E M F and Tsallis C 1991 J. Phys. A: Math. Gen. 24 L69-72 Curado E M F and Tsallis C 1991 J. Phys. A: Math. Gen. 24 3187 (corrigendum) Curado E M F and Tsallis C 1992 J. Phys. A: Math. Gen. 25 1019 (corrigendum)
18. Curado E M F and Tsallis C 1991 J. Phys. A: Math. Gen. 24 L69-72 Curado E M F and Tsallis C 1991 J. Phys. A: Math. Gen. 24 3187 (corrigendum) Curado E M F and Tsallis C 1992 J. Phys. A: Math. Gen. 25 1019 (corrigendum)
19. Curado E M F and Tsallis C 1991 J. Phys. A: Math. Gen. 24 L69-72 Curado E M F and Tsallis C 1991 J. Phys. A: Math. Gen. 24 3187 (corrigendum) Curado E M F and Tsallis C 1992 J. Phys. A: Math. Gen. 25 1019 (corrigendum)
20. Plastino A R and Plastino A 1993 Phys. Lett. A 177 177-9
21. Plastino A R and Plastino A 1994 Physica 202A 438-48
22. Mariz A M 1992 Phys. Lett. A 165 409-11 Ramshaw J D 1993 Phys. Lett. A 175 169-70 Ramshaw J D 1993 Phys. Lett. A 175 171-2
23. Mariz A M 1992 Phys. Lett. A 165 409-11 Ramshaw J D 1993 Phys. Lett. A 175 169-70 Ramshaw J D 1993 Phys. Lett. A 175 171-2
24. Mariz A M 1992 Phys. Lett. A 165 409-11 Ramshaw J D 1993 Phys. Lett. A 175 169-70 Ramshaw J D 1993 Phys. Lett. A 175 171-2
25. Alemany P A and Zanette D H 1994 Phys. Rev. E 49 R956-8 Zanette D H and Alemany P A 1995 Phys. Rev. Lett. 75 366-8 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1995 Phys. Rev. Lett. 75 3589-93 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1996 Phys. Rev. Lett. 77 5442 (erratum) Caceres M O and Budde C E 1996 Phys. Rev. Lett. 77 2589 Zanette D H and Alemany P A 1996 Phys. Rev. Lett. 77 2590
26. Alemany P A and Zanette D H 1994 Phys. Rev. E 49 R956-8 Zanette D H and Alemany P A 1995 Phys. Rev. Lett. 75 366-8 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1995 Phys. Rev. Lett. 75 3589-93 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1996 Phys. Rev. Lett. 77 5442 (erratum) Caceres M O and Budde C E 1996 Phys. Rev. Lett. 77 2589 Zanette D H and Alemany P A 1996 Phys. Rev. Lett. 77 2590
27. Alemany P A and Zanette D H 1994 Phys. Rev. E 49 R956-8 Zanette D H and Alemany P A 1995 Phys. Rev. Lett. 75 366-8 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1995 Phys. Rev. Lett. 75 3589-93 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1996 Phys. Rev. Lett. 77 5442 (erratum) Caceres M O and Budde C E 1996 Phys. Rev. Lett. 77 2589 Zanette D H and Alemany P A 1996 Phys. Rev. Lett. 77 2590
28. Alemany P A and Zanette D H 1994 Phys. Rev. E 49 R956-8 Zanette D H and Alemany P A 1995 Phys. Rev. Lett. 75 366-8 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1995 Phys. Rev. Lett. 75 3589-93 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1996 Phys. Rev. Lett. 77 5442 (erratum) Caceres M O and Budde C E 1996 Phys. Rev. Lett. 77 2589 Zanette D H and Alemany P A 1996 Phys. Rev. Lett. 77 2590
29. Alemany P A and Zanette D H 1994 Phys. Rev. E 49 R956-8 Zanette D H and Alemany P A 1995 Phys. Rev. Lett. 75 366-8 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1995 Phys. Rev. Lett. 75 3589-93 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1996 Phys. Rev. Lett. 77 5442 (erratum) Caceres M O and Budde C E 1996 Phys. Rev. Lett. 77 2589 Zanette D H and Alemany P A 1996 Phys. Rev. Lett. 77 2590
30. Alemany P A and Zanette D H 1994 Phys. Rev. E 49 R956-8 Zanette D H and Alemany P A 1995 Phys. Rev. Lett. 75 366-8 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1995 Phys. Rev. Lett. 75 3589-93 Tsallis C, Levy S V F, de Souza A M C and Maynard R 1996 Phys. Rev. Lett. 77 5442 (erratum) Caceres M O and Budde C E 1996 Phys. Rev. Lett. 77 2589 Zanette D H and Alemany P A 1996 Phys. Rev. Lett. 77 2590
31. Plastino A R and Plastino A 1995 Physica 222A 347-54 Tsallis C and Bukman D J 1996 Phys. Rev. E 54 R2197-200 Compte A and Jou D 1996 J. Phys. A: Math. Gen. 29 4321-9 Stariolo D A 1997 Phys. Rev. E 55 4806-9
32. Plastino A R and Plastino A 1995 Physica 222A 347-54 Tsallis C and Bukman D J 1996 Phys. Rev. E 54 R2197-200 Compte A and Jou D 1996 J. Phys. A: Math. Gen. 29 4321-9 Stariolo D A 1997 Phys. Rev. E 55 4806-9
33. Plastino A R and Plastino A 1995 Physica 222A 347-54 Tsallis C and Bukman D J 1996 Phys. Rev. E 54 R2197-200 Compte A and Jou D 1996 J. Phys. A: Math. Gen. 29 4321-9 Stariolo D A 1997 Phys. Rev. E 55 4806-9
34. Plastino A R and Plastino A 1995 Physica 222A 347-54 Tsallis C and Bukman D J 1996 Phys. Rev. E 54 R2197-200 Compte A and Jou D 1996 J. Phys. A: Math. Gen. 29 4321-9 Stariolo D A 1997 Phys. Rev. E 55 4806-9
35. Plastino A R and Plastino A 1993 Phys. Lett. A 174 384-6
36. Boghosian B M 1996 Phys. Rev. E 53 4754-63 Anteneodo C and Tsallis C 1997 J. Mol. Liq. 71 255-67
37. Boghosian B M 1996 Phys. Rev. E 53 4754-63 Anteneodo C and Tsallis C 1997 J. Mol. Liq. 71 255-67
38. Tsallis C, Sa Barreto F C and Loh E D 1995 Phys. Rev. E 52 1447-51 Plastino A R, Plastino A and Vucetich H 1995 Phys. Lett. A 206 42-6 Hamity V H and Barraco D E 1996 Phys. Rev. Lett. 76 4664-6 Torres D F, Vucetich H and Plastino A 1997 Phys. Rev. Lett. 79 1588-90
39. Tsallis C, Sa Barreto F C and Loh E D 1995 Phys. Rev. E 52 1447-51 Plastino A R, Plastino A and Vucetich H 1995 Phys. Lett. A 206 42-6 Hamity V H and Barraco D E 1996 Phys. Rev. Lett. 76 4664-6 Torres D F, Vucetich H and Plastino A 1997 Phys. Rev. Lett. 79 1588-90
40. Tsallis C, Sa Barreto F C and Loh E D 1995 Phys. Rev. E 52 1447-51 Plastino A R, Plastino A and Vucetich H 1995 Phys. Lett. A 206 42-6 Hamity V H and Barraco D E 1996 Phys. Rev. Lett. 76 4664-6 Torres D F, Vucetich H and Plastino A 1997 Phys. Rev. Lett. 79 1588-90
41. Tsallis C, Sa Barreto F C and Loh E D 1995 Phys. Rev. E 52 1447-51 Plastino A R, Plastino A and Vucetich H 1995 Phys. Lett. A 206 42-6 Hamity V H and Barraco D E 1996 Phys. Rev. Lett. 76 4664-6 Torres D F, Vucetich H and Plastino A 1997 Phys. Rev. Lett. 79 1588-90
42. Kaniadakis G, Lavagno A and Quarati P 1996 Phys. Lett. B 369 308-12
43. Rajagopal A K 1996 Phys. Rev. Lett. 76 3469-73
44. Koponen I 1997 Phys. Rev. B 55 7759-62
45. Lavagno A, Kaniadakis G, Rego-Monteiro M, Quarati P and Tsallis C 1998 Astrophys. Lett. Commun. 35 449-55
46. Tsallis C, Plastino A R and Zheng W M 1997 Chaos Solitons Fractals 8 885-91 Costa U M S, Lyra M L, Plastino A R and Tsallis C 1997 Phys. Rev. E 56 245-50 Lyra M L and Tsallis C 1998 Phys. Rev. Lett. 80 53-6 Papa A R R and Tsallis C 1998 Phys. Rev. E 57 3923-7
47. Tsallis C, Plastino A R and Zheng W M 1997 Chaos Solitons Fractals 8 885-91 Costa U M S, Lyra M L, Plastino A R and Tsallis C 1997 Phys. Rev. E 56 245-50 Lyra M L and Tsallis C 1998 Phys. Rev. Lett. 80 53-6 Papa A R R and Tsallis C 1998 Phys. Rev. E 57 3923-7
48. Tsallis C, Plastino A R and Zheng W M 1997 Chaos Solitons Fractals 8 885-91 Costa U M S, Lyra M L, Plastino A R and Tsallis C 1997 Phys. Rev. E 56 245-50 Lyra M L and Tsallis C 1998 Phys. Rev. Lett. 80 53-6 Papa A R R and Tsallis C 1998 Phys. Rev. E 57 3923-7
49. Tsallis C, Plastino A R and Zheng W M 1997 Chaos Solitons Fractals 8 885-91 Costa U M S, Lyra M L, Plastino A R and Tsallis C 1997 Phys. Rev. E 56 245-50 Lyra M L and Tsallis C 1998 Phys. Rev. Lett. 80 53-6 Papa A R R and Tsallis C 1998 Phys. Rev. E 57 3923-7
50. http://tsallis.cat.cbpf.br/biblio.htm
51. Tsallis C 1994 Quimica Nova 17 468-71
52. Abramowitz M and Stegun I A 1964 Handbook of Mathematical Functions (New York: Dover)