Unformatted text preview: ν ≥ 0: J ν ( x ) = ∞ s n =0 (1) n n !Γ(1 + ν + n ) p x 2 P 2 n + ν . Prove that J ν +1 ( x ) = J ν − 1 ( x )2 J ′ ν ( x ) . 4. ²ind the Frst three nonzero terms in a series expansion about x = 0 of 2 linearly independent solutions to: 3 xy ′′ + (2x ) y ′y = 0 , x > . * Instructor: Patrick De Leenheer....
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 Summer '06
 DeLeenheer
 Derivative, linearly independent solutions, Jν, Patrick De Leenheer

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