lamé equations
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A remark on solutions of Lame equations with elliptic potentials

2018 ◽  
Vol 13 (6) ◽  
pp. 293-302
Author(s):  
U. N. Bassey ◽  
U. S. Idiong
Keyword(s):  
Lamé Equations ◽  
Lame Equations

scholarly journals Halphen's transform and middle convolution

2015 ◽  
Vol 2015 (704) ◽  
pp. 1-20
Author(s):  
Stefan Reiter
Keyword(s):  
Monodromy Group ◽  
Quaternion Algebra ◽  
Lamé Equations ◽  
Lamé Equation ◽  
Symmetric Square ◽  
Euler Transform ◽  
Middle Convolution ◽  
Lame Equations

AbstractWe show that the Halphen transform of a Lamé equation can be written as the symmetric square of the Lamé equation followed by an Euler transform. We use this to compute a list of Lamé equations with arithmetic Fuchsian monodromy group. It contains all those Lamé equations where the quaternion algebra

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