辻本 諭 准教授

京都大学大学院情報学研究科
数理工学専攻
〒606-8501 京都市左京区吉田本町

電話：075-753-5498
FAX：075-753-5497
Email:

オフィス：工学部綜合校舎3階312号室

講義について

研究活動

研究テーマ

• 直交多項式および特殊関数の理論
• 離散可積分系の数理
• 超離散系の理論
• 数値計算アルゴリズムの開発

最近の主要論文

• Masatoshi Noumi, Satoshi Tsujimoto and Yasuhiko Yamada: Pad\'e interpolation for elliptic Painlev\'e equation, arXiv:1204.0294v1 [math-ph], dedicated to Professor Michio Jimbo on his 60th birthday, to appear in the proceedings of the international workshop "Infinite Analysis 11".
• Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Dual -1 Hahn polynomials: ``Classical'' polynomials beyond the Leonard duality, arXiv:1108.0132v1 [math.CA], to appear in Proceedings of the American Mathematical Society.
• Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Dunkl shift operators and Bannai-Ito polynomials, Advances in Mathematics, Vol.229, pp.2123-2158 (March 2012), arXiv:1106.3512v2 [math.CA]
• Hiroshi Miki, Hiroaki Goda, Satoshi Tsujimoto: Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems, SIGMA, Vol.8, 008, 14 pages (February 2012), arXiv:1111.7262v2 [math-ph]
• Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Jordan algebras and orthogonal polynomials, Journal of Mathematical Physics, Vol.52, 103512, 8 pages (October 2011), arXiv:1108.3531v1 [math.CA]
• Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: From slq(2) to a parabosonic Hopf algebra, SIGMA, Vol.7, 093, 13 pages (October 2011), arXiv:1108.1603v3 [math-ph]
• Ryu Sasaki, Satoshi Tsujimoto, Alexei Zhedanov: Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations, Journal of Physics A: Mathematical and Theoretical, Vol.43, 315204, 20 pages (August 2010), arXiv:1004.4711v1 [math-ph]
• Kazuki Maeda, Satoshi Tsujimoto: Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice, JSIAM Letters, Vol.2, pp. 95-98 (October 2010)

投稿中の論文

• Tsuyoshi Kato, Satoshi Tsujimoto: A rough analytic relation on partial differential equations, arXiv:1004.4981v1 [math.MG]
• Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: An algebraic model for the multiple Meixner polynomials of the first kind, arXiv:1203.0357v1 [math-ph]
• Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Quantum state transfer in a two-dimensional regular spin lattice of triangular shape, arXiv:1203.2128v2 [math-ph]

研究助成

• 科研費基盤研究(C)

学位

博士(工学)(早稲田大学)

所属学会

日本数学会，日本応用数理学会, 日本物理学会

教育活動

担当授業科目 (大学院)

数理解析特論

担当授業科目 (学部)

工業数学A3，応用代数学

リンク

• 中村・辻本研究室
• 数理工学専攻