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Volumn 44, Issue 3, 2003, Pages 1396-1414

Riccati solutions of discrete Painlevé equations with Weyl group symmetry of type E8(1)

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EID: 0037363124 PISSN: 00222488 EISSN: None Source Type: Journal
DOI: 10.1063/1.1531216 Document Type: Article

Times cited : (34)

References (11)

1
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- Grammaticos, B.¹ Ohta, Y.² Ramani, A.³ Sakai, H.⁴

2
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- Do integrable mappings have the Painlevé property?
- Grammaticos, B., Ramani, A., and Papageorgiou, V. G., "Do integrable mappings have the Painlevé property?" Phys. Rev. Lett. 67, 1825-1828 (1991).
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- Grammaticos, B.¹ Ramani, A.² Papageorgiou, V.G.³

3
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- A q-analog of the sixth Painlevé equation
- Jimbo, M. and Sakai, H., "A q-analog of the sixth Painlevé equation," Lett. Math. Phys. 38, 145-154 (1996).
- (1996) Lett. Math. Phys. , vol.38 , pp. 145-154
- Jimbo, M.¹ Sakai, H.²

4
- 0035824417
- An affine Weyl group approach to the 8-parameter discrete Painlevé equation
- Ohta, Y., Ramani, A., and Grammaticos, B., "An affine Weyl group approach to the 8-parameter discrete Painlevé equation," J. Phys. A 34, 10523-10532 (2001).
- (2001) J. Phys. A , vol.34 , pp. 10523-10532
- Ohta, Y.¹ Ramani, A.² Grammaticos, B.³

5
- 34250120843
- Studies on the Painlevé equations I
- Okamoto, K., "Studies on the Painlevé equations I," Ann. Mat. Pura Appl. CXLVI, 337-381 (1987); II. Jpn. J. Math. 13, 47-76 (1987); III. Math. Ann. 275, 221-255 (1986); IV. Funkcial. Ekvac. Ser. Int. 30, 305-332 (1987).
- (1987) Ann. Mat. Pura Appl. , vol.146 , pp. 337-381
- Okamoto, K.¹

6
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- Okamoto, K., "Studies on the Painlevé equations I," Ann. Mat. Pura Appl. CXLVI, 337-381 (1987); II. Jpn. J. Math. 13, 47-76 (1987); III. Math. Ann. 275, 221-255 (1986); IV. Funkcial. Ekvac. Ser. Int. 30, 305-332 (1987).
- (1987) Jpn. J. Math. , vol.13 , pp. 47-76

7
- 0007117198
- Okamoto, K., "Studies on the Painlevé equations I," Ann. Mat. Pura Appl. CXLVI, 337-381 (1987); II. Jpn. J. Math. 13, 47-76 (1987); III. Math. Ann. 275, 221-255 (1986); IV. Funkcial. Ekvac. Ser. Int. 30, 305-332 (1987).
- (1986) Math. Ann. , vol.275 , pp. 221-255

8
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- Okamoto, K., "Studies on the Painlevé equations I," Ann. Mat. Pura Appl. CXLVI, 337-381 (1987); II. Jpn. J. Math. 13, 47-76 (1987); III. Math. Ann. 275, 221-255 (1986); IV. Funkcial. Ekvac. Ser. Int. 30, 305-332 (1987).
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9
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- Discrete versions of the Painlevé equations
- Ramani, A., Grammaticos, B., and Hietarinta, J., "Discrete versions of the Painlevé equations," Phys. Rev. Lett. 67, 1829-1832 (1991).
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- Ramani, A.¹ Grammaticos, B.² Hietarinta, J.³

10
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- Special function solutions of the discrete Painlevé equations
- Ramani, A., Grammaticos, B., Tamizhmani, T., and Tamizhmani, K. M., "Special function solutions of the discrete Painlevé equations," Comput. Math. Appl. 42(3-5), 603-614 (2001).
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- Ramani, A.¹ Grammaticos, B.² Tamizhmani, T.³ Tamizhmani, K.M.⁴

11
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- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
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- Sakai, H.¹

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