Whittaker and Watson (1990, pp. 539-540) write Lamé's differential equation for ellipsoidal harmonics of the first kind of the four types as
(1)
| |||
(2)
| |||
(3)
| |||
(4)
|
where
(5)
| |||
(6)
|
Whittaker and Watson (1990, pp. 539-540) write Lamé's differential equation for ellipsoidal harmonics of the first kind of the four types as
(1)
| |||
(2)
| |||
(3)
| |||
(4)
|
where
(5)
| |||
(6)
|
Weisstein, Eric W. "Lamé's Differential Equation Types." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LamesDifferentialEquationTypes.html