Or an equation

• Or an equation

and to have a single-valued solution, m must be zero or a positive or negative integer

now our first equation becomes

and both sides have to equal a constant that we take, with malice aforethought,=l(l+1),

because the equation above is Legendre’s equation that only has acceptable solutions when l is zero or a positive integer greater or equal to ml with solutions polynomials in cos?? or in summary:

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