15.25 LEGENDRE'S EQUATION AND LEGENDRE'S POLYNOMIAL
The differential equation
is called Legendre's equation of order n, where n is a real number. The equation can be written is the form
Since 
and 
are analytic at 0, the point x = 0 is a regular point of the Legendre's equation. So let
be the power series solution of the given Legendre's ...
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