scholarly journals Toda systems and hypergeometric equations

2018 ◽  
Vol 370 (11) ◽  
pp. 7605-7626 ◽  
Author(s):  
Chang-Shou Lin ◽  
Zhaohu Nie ◽  
Juncheng Wei
Keyword(s):  
Toda Systems ◽  
Hypergeometric Equations

scholarly journals Classification of blowup limits for SU(3) singular Toda systems

2015 ◽  
Vol 8 (4) ◽  
pp. 807-837 ◽  
Author(s):  
Chang-Shou Lin ◽  
Jun-cheng Wei ◽  
Lei Zhang
Keyword(s):  
Toda Systems

scholarly journals Relativistic Toda systems

1990 ◽  
Vol 133 (2) ◽  
pp. 217-247 ◽  
Author(s):  
S. N. M. Ruijsenaars
Keyword(s):  
Toda Systems

Algebraic structure of Toda systems

1983 ◽  
Vol 220 (4) ◽  
pp. 491-507 ◽  
Author(s):  
D.I. Olive ◽  
N. Turok
Keyword(s):  
Algebraic Structure ◽  
Toda Systems

scholarly journals W-geometry of the Toda systems associated with non-exceptional simple Lie algebras

1996 ◽  
Vol 180 (2) ◽  
pp. 265-296 ◽  
Author(s):  
Jean-Loup Gervais ◽  
Mikhail V. Saveliev
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Toda Systems

On W-geometry of Toda systems

2007 ◽  
Vol 141 (1) ◽  
pp. 1041-1047
Author(s):  
O. V. Il’in
Keyword(s):  
Toda Systems

scholarly journals k-Hypergeometric Series Solutions to One Type of Non-Homogeneous k-Hypergeometric Equations

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 262 ◽  
Author(s):  
Shengfeng Li ◽  
Yi Dong
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Hypergeometric Series ◽  
Second Order ◽  
Series Solutions ◽  
Frobenius Method ◽  
General Solutions ◽  
Hypergeometric Differential Equation ◽  
Polynomial Term ◽  
Hypergeometric Equations

In this paper, we expound on the hypergeometric series solutions for the second-order non-homogeneous k-hypergeometric differential equation with the polynomial term. The general solutions of this equation are obtained in the form of k-hypergeometric series based on the Frobenius method. Lastly, we employ the result of the theorem to find the solutions of several non-homogeneous k-hypergeometric differential equations.

scholarly journals Higher grading generalisations of the Toda systems

1995 ◽  
Vol 453 (1-2) ◽  
pp. 449-476 ◽  
Author(s):  
Jean-Loup Gervais ◽  
Mikhail V. Saveliev
Keyword(s):  
Toda Systems
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