"초타원 시그마 함수(hyperelliptic sigma functions)"의 두 판 사이의 차이
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==메모== | ==메모== | ||
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* [[바이어슈트라스 시그마 함수]] | * [[바이어슈트라스 시그마 함수]] | ||
* [[소모스 수열(Somos sequence)]] | * [[소모스 수열(Somos sequence)]] | ||
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==관련논문== | ==관련논문== | ||
| − | + | * Bernatska, Julia, and Dmitry Leykin. “On Degenerate Sigma-Functions of Genus Two.” arXiv:1509.01490 [math-Ph], September 4, 2015. http://arxiv.org/abs/1509.01490. | |
* Kodama, Yuji, Shigeki Matsutani, and Emma Previato. 2010. “Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function.” <em>1008.0509</em> (August 3). http://arxiv.org/abs/1008.0509 .<br> | * Kodama, Yuji, Shigeki Matsutani, and Emma Previato. 2010. “Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function.” <em>1008.0509</em> (August 3). http://arxiv.org/abs/1008.0509 .<br> | ||
* Eilbeck, J C, V Z Enolski, and J Gibbons. 2010. Sigma, tau and Abelian functions of algebraic curves. Journal of Physics A: Mathematical and Theoretical 43, no. 45 (11): 455216. doi:[http://dx.doi.org/10.1088/1751-8113/43/45/455216 10.1088/1751-8113/43/45/455216]. | * Eilbeck, J C, V Z Enolski, and J Gibbons. 2010. Sigma, tau and Abelian functions of algebraic curves. Journal of Physics A: Mathematical and Theoretical 43, no. 45 (11): 455216. doi:[http://dx.doi.org/10.1088/1751-8113/43/45/455216 10.1088/1751-8113/43/45/455216]. | ||
2015년 9월 7일 (월) 00:40 판
메모
관련된 항목들
리뷰논문과 에세이
- The Weierstrass Theory For Elliptic Functions Including The Generalisation To Higher Genus
- Hyperelliptic Kleinian functions and applications http://arxiv.org/abs/solv-int/9603005
관련논문
- Bernatska, Julia, and Dmitry Leykin. “On Degenerate Sigma-Functions of Genus Two.” arXiv:1509.01490 [math-Ph], September 4, 2015. http://arxiv.org/abs/1509.01490.
- Kodama, Yuji, Shigeki Matsutani, and Emma Previato. 2010. “Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function.” 1008.0509 (August 3). http://arxiv.org/abs/1008.0509 .
- Eilbeck, J C, V Z Enolski, and J Gibbons. 2010. Sigma, tau and Abelian functions of algebraic curves. Journal of Physics A: Mathematical and Theoretical 43, no. 45 (11): 455216. doi:10.1088/1751-8113/43/45/455216.
- Braden, Harry W, Victor Z Enolskii, and Andrew N. W Hone. 2005. “Bilinear recurrences and addition formulae for hyperelliptic sigma functions.” math/0501162 (January 11). http://arxiv.org/abs/math/0501162 .
- Matsutani, Shigeki. 2002. “Elliptic and hyperelliptic solutions of discrete Painlevé I and its extensions to higher order difference equations”. Physics Letters A 300 (2-3) (7월 29): 233-242. doi:16/S0375-9601(02)00784-3.
- Ônishi, Yoshihiro. 2001. “Determinant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani)”. math/0105189 (5월 23). http://arxiv.org/abs/math/0105189 .
- Matsutani, Shigeki. 2000. Hyperelliptic Solutions of KdV and KP equations: Reevaluation of Baker's Study on Hyperelliptic Sigma Functions. nlin/0007001 (July 1). doi:doi:10.1088/0305-4470/34/22/312. http://arxiv.org/abs/nlin/0007001.
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