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SOLVED:Determine the indicial equation and the basic form of expansion representing the solution in the neighborhood of the regular singular points to the following equations: (a) z^2 (d^2 w)/(d z^2) z (d w)/(d z) (z^2-p^2) w=0, p not integer, (Bessel's Equation) (b) (1-z^2) (d^2 w)/(d z^2)-2 z (d w)/(d z) p(p 1) w=0, p not integer, (Legendre's Equation) (c) z(1-z) (d^2 w)/(d z^2) [c-(a b 1) z] (d w)/(d z) -a b w=0, one solution is satisfactory, (Hypergeometric Equation)
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