研究者情報 - 増田　哲 | 青山学院大学

マスダ　テツ MASUDA Tetsu
増田　哲

所属

青山学院大学理工学部物理・数理学科

職種教授

研究業績（著書・論文等）
1.	著書	解析学入門 (共著) 2016/12
2.	論文	On additional symmetry and bilinearization of the q-Painleve systems associated with the affine Weyl group of type A Letters in Mathematical Physics 114 (1) (単著) 2024/02
3.	論文	Cluster algebras and higher order generalizations of the q-Painleve equations of type A₇⁽¹⁾ and A₆⁽¹⁾ RIMS Kokyuroku Bessatsu (共著) 2021/08
4.	論文	Discrete power functions on a hexagonal lattice I: Derivation of defining equations from the symmetry of the Garnier system in two variables Journal of Physics A: Mathematical and Theoretical 54 (33) (共著) 2021/07
5.	論文	Bilinearization of the q-Sasano system of type D₇⁽¹⁾ and special polynomials associated with its rational solutions RIMS Kokyuroku Bessatsu (B78),1-27頁 (単著) 2020/04
6.	論文	Geometric description of a discrete power function associated with the sixth Painlev'e equation Proc. Roy. Soc. London Ser. A. 473 (2207) (共著) 2017/11
7.	論文	A q-deformation of discrete dynamical systems associated with the Weyl group of type A Journal of Integrable Systems 1,1-14頁 (共著) 2016/08
8.	論文	A q-analogue of the higher order Painlev'e type equations with the affine Weyl group symmetry of type D Funkcialaj Ekvacioj 58 (3),405-430頁 (単著) 2015/12
9.	論文	An explicit formula for the discrete power function associated with circle patterns of Schramm type Funkcialaj Ekvacioj 57 (1),1-41頁 (共著) 2014/04
10.	論文	Bilinearization and special solutions to the discrete Schwarzian KdV equation Journal of Math-for-Industry 3,53-62頁 (共著) 2011/04
11.	論文	Hypergeometric τ-functions of the q-Painlev'e system of type E₈⁽¹⁾ The Ramanujan Journal 24 (1),1-31頁 (単著) 2011/01
12.	論文	Hypergeometric τ-functions of the q-Painlev'e system of type E₇⁽¹⁾ SIGMA Symmetry, Integrability and Geometry: Methods and Applications 5 (単著) 2009/03
13.	論文	The anti-self-dual Yang-Mills equation and the Painlev'e III equation Journal of Physics A : Mathematical and Theoretical 40 (48),14433-14445頁 (単著) 2007/11
14.	論文	q-Painlev'e VI equation arising from q-UC hierarchy Communications in Mathematical Physics 262 (3),595-609頁 (共著) 2006/03
15.	論文	Point configurations, Cremona transformations and the elliptic difference Painlev'e equation S'eminaires et Congr`es 14,169-198頁 (共著) 2006
16.	論文	Special polynomials associated with the Noumi-Yamada system of type A₅⁽¹⁾ Funkcialaj Ekvacioj 48 (2),231-246頁 (単著) 2005/08
17.	論文	The anti-self-dual Yang-Mills equation and classical transcendental solutions to the Painlev'e II and IV equations Journal of Physics A : Mathematical and General 38 (30),6741-6757頁 (単著) 2005/07
18.	論文	Cubic pencils and Painlev'e Hamiltonians Funkcialaj Ekvacioj 48 (1),147-160頁 (共著) 2005/04
19.	論文	Construction of hypergeometric solutions to the q-Painlev'e equations International Mathematics Research Notices 24,1439-1463頁 (共著) 2005
20.	論文	Classical transcendental solutions of the Painlev'e equations and their degeneration Tohoku Mathematical Journal　(Mathematical Institute of Tohoku University),467-490 (単著) 2004/12
21.	論文	Hypergeometric solutions to the q-Painlev'e equations International Mathematics Research Notices 47,2497-2521頁 (共著) 2004
22.	論文	₁₀E₉ solutions to the elliptic Painlev'e equation Journal of Physics A : Mathematical and General 36 (17),L263-L272頁 (共著) 2003/05
23.	論文	On a class of algebraic solutions to the Painlev'e VI equation, its determinant formula and coalescence cascade Funkcialaj Ekvacioj 46 (1),121-171頁 (単著) 2003/04
24.	論文	On the rational solutions of q-Painlev'e V equation Nagoya Mathematical Journal 169,119-143頁 (単著) 2003/03
25.	論文	A determinant formula for a class of rational solutions of Painlev'e V equation Nagoya Mathematical Journal 168,1-25頁 (共著) 2002/12
26.	論文	Determinant formulas for the Toda and discrete Toda equations Funkcialaj Ekvacioj 44 (2),291-307頁 (共著) 2001/08
27.	論文	On the Umemura polynomials for the Painlev'e III equation Physics Letters A 260,462-467頁 (共著) 1999/09
28.	論文	A generalization of determinant formulas for the solutions of Painlev'e II and XXXIV equations Journal of Physics A : Mathematical and General 32 (20),3763-3778頁 (共著) 1999/05
29.	論文	Extraction of stationary axisymmetric asymptotically flat space-time Journal of the Physical Society of Japan 68 (1),43-45頁 (単著) 1999/01
30.	論文	Neugebauer-Kramer solutions of Ernst equation in Hirota's direct method Journal of Physics A : Mathematical and General 31 (26),5717-5731頁 (共著) 1998/07
31.	論文	Limit manipulation between the cylindrical Toda equation and the cylindrical KdV equation Journal of the Physical Society of Japan 64 (9),3573-3574頁 (単著) 1995/09
32.	その他	Symmetries in Painlev'e equations Sugaku Expositions 17 (2),203-218頁 (共著) 2004/12