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Tsujimoto, Satoshi

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Author ID: tsujimoto.satoshi Recent zbMATH articles by "Tsujimoto, Satoshi"
Published as: Tsujimoto, Satoshi; Tsujimoto, S.; Tujimoto, Satoshi
Documents Indexed: 55 Publications since 1993

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 367 times in 283 Documents Cited by Year
Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations. Zbl 1200.33013
Sasaki, Ryu; Tsujimoto, Satoshi; Zhedanov, Alexei
46
2010
Dunkl shift operators and Bannai-Ito polynomials. Zbl 1248.33022
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
43
2012
Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536
Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
28
1993
Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501
Hirota, Ryogo; Tsujimoto, Satoshi
21
1995
The discrete Lotka-Volterra system computes singular values. Zbl 0974.35110
Tsujimoto, Satoshi; Nakamura, Yoshimasa; Iwasaki, Masashi
20
2001
Pfaffianization of the discrete KP equation. Zbl 1054.37041
Gilson, Claire R.; Nimmo, Jon J.; Tsujimoto, Satoshi
20
2001
Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007
Tsujimoto, Satoshi; Hirota, Ryogo
16
1996
Padé interpolation for elliptic Painlevé equation. Zbl 1277.33020
Noumi, Masatoshi; Tsujimoto, Satoshi; Yamada, Yasuhiko
14
2013
Difference scheme of soliton equations. Zbl 0900.35332
Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
13
1993
A new recurrence formula for generic exceptional orthogonal polynomials. Zbl 1318.33024
Miki, Hiroshi; Tsujimoto, Satoshi
13
2015
Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle. Zbl 1163.33325
Tsujimoto, Satoshi; Zhedanov, Alexei
12
2009
Families of superintegrable Hamiltonians constructed from exceptional polynomials. Zbl 1255.81145
Post, Sarah; Tsujimoto, Satoshi; Vinet, Luc
11
2012
Dual \(-1\) Hahn polynomials: “classical” polynomials beyond the Leonard duality. Zbl 1300.33018
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
11
2013
From \(\text{sl}_q(2)\) to a parabosonic Hopf algebra. Zbl 1246.17022
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
10
2011
Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. Zbl 1136.37041
Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S.
8
2007
Ultradiscrete KdV equation. Zbl 0948.39008
Tsujimoto, Satoshi; Hirota, Ryogo
7
1998
The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type. Zbl 1423.33027
Baseilhac, Pascal; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
7
2019
Soliton equations exhibiting Pfaffian solutions. Zbl 0986.35093
Hirota, Ryogo; Iwao, Masataka; Tsujimoto, Satoshi
6
2001
Tridiagonal representations of the \(q\)-oscillator algebra and Askey-Wilson polynomials. Zbl 1368.81074
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
6
2017
Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems. Zbl 1242.42022
Miki, Hiroshi; Goda, Hiroaki; Tsujimoto, Satoshi
6
2012
Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials. Zbl 1375.65059
Genest, Vincent X.; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
5
2017
Bannai-Ito polynomials and dressing chains. Zbl 1304.42063
Derevyagin, Maxim; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
5
2014
Determinant structure of non-autonomous Toda-type integrable systems. Zbl 1084.37055
Mukaihira, Atsushi; Tsujimoto, Satoshi
5
2006
Molecule solutions to discrete equations and orthogonal polynomials. Zbl 0969.39500
Tsujimoto, Satoshi; Kondo, Koichi
4
2000
An algebraic model for the multiple Meixner polynomials of the first kind. Zbl 1251.81053
Miki, Hiroshi; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
4
2012
Jordan algebras and orthogonal polynomials. Zbl 1272.17031
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
4
2011
On a discrete analogue of the two-dimensional Toda lattice hierarchy. Zbl 0994.35111
Tsujimoto, Satoshi
3
2002
Determinant structure of \(R_ I\) type discrete integrable system. Zbl 1058.81035
Mukaihira, Atsushi; Tsujimoto, Satoshi
2
2004
A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system. Zbl 1342.65115
Maeda, Kazuki; Tsujimoto, Satoshi
2
2016
Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy. Zbl 1298.37068
Tsujimoto, Satoshi
2
2010
Linearization of the box-ball system: an elementary approach. Zbl 1397.37074
Kakei, Saburo; Nimmo, Jonathan J. C.; Tsujimoto, Satoshi; Willox, Ralph
2
2018
The Heun-Racah and Heun-Bannai-Ito algebras. Zbl 07287189
Bergeron, Geoffroy; Crampé, Nicolas; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
2
2020
Some aspects of the Toda molecule. Zbl 1076.37067
Nishizawa, M.; Ohta, Y.; Tsujimoto, S.
1
2005
Convergence acceleration algorithms related to a generalized E-transformation and its particular cases. Zbl 1268.65001
He, Yi; Hu, Xing-Biao; Tam, Hon-Wah; Tsujimoto, Satoshi
1
2013
Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice. Zbl 1271.39004
Maeda, Kazuki; Tsujimoto, Satoshi
1
2010
The structure of solutions to discrete soliton equations. Zbl 0942.58506
Tsujimoto, Satoshi
1
1997
Symmetric abstract hypergeometric polynomials. Zbl 1375.33022
Tsujimoto, Satoshi; Vinet, Luc; Yu, Guo-Fu; Zhedanov, Alexei
1
2018
Construction of the exceptional orthogonal polynomials and its application to the superintegrable system. Zbl 1298.33019
Tsujimoto, Satoshi
1
2013
Spectral analysis of transition operators, automata groups and translation in BBS. Zbl 1362.37033
Kato, Tsuyoshi; Tsujimoto, Satoshi; Zuk, Andrzej
1
2017
An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type. Zbl 1456.33011
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
1
2021
Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle. Zbl 1458.33008
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
1
2019
An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type. Zbl 1456.33011
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
1
2021
The Heun-Racah and Heun-Bannai-Ito algebras. Zbl 07287189
Bergeron, Geoffroy; Crampé, Nicolas; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
2
2020
The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type. Zbl 1423.33027
Baseilhac, Pascal; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
7
2019
Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle. Zbl 1458.33008
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
1
2019
Linearization of the box-ball system: an elementary approach. Zbl 1397.37074
Kakei, Saburo; Nimmo, Jonathan J. C.; Tsujimoto, Satoshi; Willox, Ralph
2
2018
Symmetric abstract hypergeometric polynomials. Zbl 1375.33022
Tsujimoto, Satoshi; Vinet, Luc; Yu, Guo-Fu; Zhedanov, Alexei
1
2018
Tridiagonal representations of the \(q\)-oscillator algebra and Askey-Wilson polynomials. Zbl 1368.81074
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
6
2017
Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials. Zbl 1375.65059
Genest, Vincent X.; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
5
2017
Spectral analysis of transition operators, automata groups and translation in BBS. Zbl 1362.37033
Kato, Tsuyoshi; Tsujimoto, Satoshi; Zuk, Andrzej
1
2017
A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system. Zbl 1342.65115
Maeda, Kazuki; Tsujimoto, Satoshi
2
2016
A new recurrence formula for generic exceptional orthogonal polynomials. Zbl 1318.33024
Miki, Hiroshi; Tsujimoto, Satoshi
13
2015
Bannai-Ito polynomials and dressing chains. Zbl 1304.42063
Derevyagin, Maxim; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
5
2014
Padé interpolation for elliptic Painlevé equation. Zbl 1277.33020
Noumi, Masatoshi; Tsujimoto, Satoshi; Yamada, Yasuhiko
14
2013
Dual \(-1\) Hahn polynomials: “classical” polynomials beyond the Leonard duality. Zbl 1300.33018
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
11
2013
Convergence acceleration algorithms related to a generalized E-transformation and its particular cases. Zbl 1268.65001
He, Yi; Hu, Xing-Biao; Tam, Hon-Wah; Tsujimoto, Satoshi
1
2013
Construction of the exceptional orthogonal polynomials and its application to the superintegrable system. Zbl 1298.33019
Tsujimoto, Satoshi
1
2013
Dunkl shift operators and Bannai-Ito polynomials. Zbl 1248.33022
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
43
2012
Families of superintegrable Hamiltonians constructed from exceptional polynomials. Zbl 1255.81145
Post, Sarah; Tsujimoto, Satoshi; Vinet, Luc
11
2012
Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems. Zbl 1242.42022
Miki, Hiroshi; Goda, Hiroaki; Tsujimoto, Satoshi
6
2012
An algebraic model for the multiple Meixner polynomials of the first kind. Zbl 1251.81053
Miki, Hiroshi; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
4
2012
From \(\text{sl}_q(2)\) to a parabosonic Hopf algebra. Zbl 1246.17022
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
10
2011
Jordan algebras and orthogonal polynomials. Zbl 1272.17031
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
4
2011
Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations. Zbl 1200.33013
Sasaki, Ryu; Tsujimoto, Satoshi; Zhedanov, Alexei
46
2010
Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy. Zbl 1298.37068
Tsujimoto, Satoshi
2
2010
Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice. Zbl 1271.39004
Maeda, Kazuki; Tsujimoto, Satoshi
1
2010
Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle. Zbl 1163.33325
Tsujimoto, Satoshi; Zhedanov, Alexei
12
2009
Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. Zbl 1136.37041
Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S.
8
2007
Determinant structure of non-autonomous Toda-type integrable systems. Zbl 1084.37055
Mukaihira, Atsushi; Tsujimoto, Satoshi
5
2006
Some aspects of the Toda molecule. Zbl 1076.37067
Nishizawa, M.; Ohta, Y.; Tsujimoto, S.
1
2005
Determinant structure of \(R_ I\) type discrete integrable system. Zbl 1058.81035
Mukaihira, Atsushi; Tsujimoto, Satoshi
2
2004
On a discrete analogue of the two-dimensional Toda lattice hierarchy. Zbl 0994.35111
Tsujimoto, Satoshi
3
2002
The discrete Lotka-Volterra system computes singular values. Zbl 0974.35110
Tsujimoto, Satoshi; Nakamura, Yoshimasa; Iwasaki, Masashi
20
2001
Pfaffianization of the discrete KP equation. Zbl 1054.37041
Gilson, Claire R.; Nimmo, Jon J.; Tsujimoto, Satoshi
20
2001
Soliton equations exhibiting Pfaffian solutions. Zbl 0986.35093
Hirota, Ryogo; Iwao, Masataka; Tsujimoto, Satoshi
6
2001
Molecule solutions to discrete equations and orthogonal polynomials. Zbl 0969.39500
Tsujimoto, Satoshi; Kondo, Koichi
4
2000
Ultradiscrete KdV equation. Zbl 0948.39008
Tsujimoto, Satoshi; Hirota, Ryogo
7
1998
The structure of solutions to discrete soliton equations. Zbl 0942.58506
Tsujimoto, Satoshi
1
1997
Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007
Tsujimoto, Satoshi; Hirota, Ryogo
16
1996
Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501
Hirota, Ryogo; Tsujimoto, Satoshi
21
1995
Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536
Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
28
1993
Difference scheme of soliton equations. Zbl 0900.35332
Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
13
1993
all top 5

Cited by 263 Authors

42 Vinet, Luc
34 Zhedanov, Alexei S.
23 Hu, Xingbiao
17 Tsujimoto, Satoshi
16 Genest, Vincent X.
12 Chang, Xiangke
11 Duran, Antonio J.
9 Nakamura, Yoshimasa
9 Quesne, Christiane
8 He, Yi
8 Li, Shihao
8 Yu, Guofu
7 Gómez-Ullate, David
7 Milson, Robert
7 Odake, Satoru
7 Ohta, Yasuhiro
7 Sun, Yepeng
7 Zhao, Junxiao
6 De Bie, Hendrik
6 Grandati, Yves
6 Huang, Hau-wen
6 Kajiwara, Kenji
6 Lemay, Jean-Michel
6 Marquette, Ian
6 Satsuma, Junkichi
6 Yamilov, Ravil Islamovich
5 Iwasaki, Masashi
4 Bergeron, Geoffroy
4 Crampé, Nicolas
4 Derevyagin, Maxim S.
4 Gaboriaud, Julien
4 Grammaticos, Basil
4 Li, Chunxia
4 Nagao, Hidehito
4 Oste, Roy
4 Ramani, Alfred
4 Ranga, A. Sri
4 Sun, Jianqing
4 Tokihiro, Tetsuji
4 Van der Jeugt, Joris
4 Yamada, Yasuhiko
3 Baseilhac, Pascal
3 Bracciali, Cleonice F.
3 Brezinski, Claude
3 Gegenhasi
3 Gubbiotti, Giorgio
3 Inoue, Rei
3 Maruno, Kenichi
3 Miki, Hiroshi
3 Mukaihira, Atsushi
3 Roy, Barnana
3 Saito, Satoru
3 Schulze-Halberg, Axel
3 Veronese, Daniel O.
3 Willox, Ralph
2 Bonneux, Niels
2 Doliwa, Adam
2 Felix, H. M.
2 Fukuda, Akiko
2 García-Ferrero, Maria Ángeles
2 Khabibullin, Ismagil Talgatovich
2 Hirota, Ryogo
2 Hydon, Peter Ellsworth
2 Ishiwata, Emiko
2 Kamran, Niky
2 Kato, Tsuyoshi
2 Lamblém, Regina Litz
2 Levi, Decio
2 Magnus, Alphonse Ph.
2 Marcellán Español, Francisco
2 McCabe, John H.
2 Nagai, Hidetomo
2 Nijhoff, Frank W.
2 Noumi, Masatoshi
2 Pérez, Mario
2 Petropoulou, Eugenia N.
2 Redivo-Zaglia, Michela
2 Saitoh, Noriko
2 Sasaki, Ryu
2 Shen, Shoufeng
2 Szmigielski, Jacek
2 Tam, Hon-Wah
2 Terwilliger, Paul M.
2 Van Assche, Walter
2 van de Vijver, Wouter
2 Vinet, Stéphane
2 Yamamoto, Yusaku
2 Zagorodnyuk, Sergey Mihaylovich
2 Zhang, Yingnan
1 Akaiwa, Kanae
1 Aptekarev, Alexander Ivanovich
1 Atkinson, James R.
1 Au, Vo Van
1 Bai, Chengming
1 Bai, Xiaorong
1 Behera, Kiran Kumar
1 Benítez-Babilonia, Luis
1 Bérard, Alain
1 Bernard, Pierre-Antoine
1 Binh, Tran Thanh
...and 163 more Authors
all top 5

Cited in 86 Serials

44 Journal of Mathematical Physics
17 Journal of Mathematical Analysis and Applications
16 Communications in Mathematical Physics
14 Journal of Approximation Theory
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Journal of Physics A: Mathematical and Theoretical
11 Proceedings of the American Mathematical Society
9 Journal of Computational and Applied Mathematics
8 Letters in Mathematical Physics
7 Journal of Nonlinear Mathematical Physics
6 Physics Letters. A
5 Advances in Mathematics
4 Chaos, Solitons and Fractals
4 Applied Mathematics and Computation
4 Japan Journal of Industrial and Applied Mathematics
4 Linear Algebra and its Applications
4 Integral Transforms and Special Functions
3 Theoretical and Mathematical Physics
3 Mathematics and Computers in Simulation
3 Studies in Applied Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
2 Modern Physics Letters A
2 Modern Physics Letters B
2 International Journal of Modern Physics A
2 Applicable Analysis
2 Computers & Mathematics with Applications
2 Journal of Statistical Physics
2 Nonlinearity
2 Nuclear Physics. B
2 Mathematics of Computation
2 Transactions of the American Mathematical Society
2 Applied Numerical Mathematics
2 Constructive Approximation
2 Numerical Algorithms
2 Annals of Physics
2 Journal of Mathematical Sciences (New York)
2 The Ramanujan Journal
2 Annales Henri Poincaré
2 Foundations of Computational Mathematics
2 Ufimskiĭ Matematicheskiĭ Zhurnal
1 International Journal of Modern Physics B
1 Communications in Algebra
1 Journal of Engineering Mathematics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Calcolo
1 Funkcialaj Ekvacioj. Serio Internacia
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Equations
1 Journal of Pure and Applied Algebra
1 Journal of Statistical Planning and Inference
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 Sugaku Expositions
1 European Journal of Applied Mathematics
1 The Journal of Geometric Analysis
1 Journal of Nonlinear Science
1 Experimental Mathematics
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Journal of Difference Equations and Applications
1 ELA. The Electronic Journal of Linear Algebra
1 Séminaire Lotharingien de Combinatoire
1 Differential Equations and Dynamical Systems
1 Journal of Inequalities and Applications
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of High Energy Physics
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics and Computing
1 SIAM Journal on Applied Dynamical Systems
1 International Journal of Geometric Methods in Modern Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Science China. Mathematics
1 Symmetry
1 Bulletin of Mathematical Sciences
1 ISRN Mathematical Physics
1 Cogent Mathematics
all top 5

Cited in 40 Fields

114 Special functions (33-XX)
100 Dynamical systems and ergodic theory (37-XX)
61 Quantum theory (81-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
49 Partial differential equations (35-XX)
49 Difference and functional equations (39-XX)
37 Ordinary differential equations (34-XX)
29 Numerical analysis (65-XX)
25 Nonassociative rings and algebras (17-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
14 Algebraic geometry (14-XX)
13 Approximations and expansions (41-XX)
12 Associative rings and algebras (16-XX)
9 Combinatorics (05-XX)
9 Group theory and generalizations (20-XX)
7 Topological groups, Lie groups (22-XX)
7 Operator theory (47-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Mechanics of particles and systems (70-XX)
4 Number theory (11-XX)
4 Biology and other natural sciences (92-XX)
3 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Probability theory and stochastic processes (60-XX)
3 Computer science (68-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Integral equations (45-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Statistics (62-XX)
1 Fluid mechanics (76-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year