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Is there something wrong in using the Frobenius method for regular singular point while solving Legendre's differential equation (expanding about x=0)?

Though the solution of Legendre Differential Equation here- http://mathworld.wolfram.com/LegendreDifferentialEquation.html

uses the other form. But my book uses the Frobenius method for regular singular point..

( Forbenius method- http://mathworld.wolfram.com/FrobeniusMethod.html )

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# Help with solution of legendre's diffrential equation.

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