Tests if a homogeneous linear ordinary differential equation is of Fuchsian type
This functionality does not run in MATLAB.
of Fuchsian type, i.e., all the singular points (including the point
at infinity) of
Ly are regular. It returns
at least one singular point is irregular. When the option
FALSE is returned or a list where each element is a table containing, at each regular singular
Ly the place, the indicial equation and
We test if the following differential equation is Fuchsian:
We can have a look of the indicial equations, exponents at each
regular singular point of
ode::isFuchsian(Ly, y(x), AllExponents)
In this example, the Airy equation, the only singular point is at infinity and is irregular:
A homogeneous linear ordinary differential equation with coefficients in the field ℚ(x) of rational functions over the rationals.
The dependent function of
Return a list of tables of indical equations and exponents for regular singular points.