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Confluent Hypergeometric Function

  1. Jun 21, 2012 #1
    1. The problem statement, all variables and given/known data
    Hermite differential equation: y"(x) -2xy'(x)+2ny(x)=0


    2. Relevant equations: y(x)=C[itex]_{n}[/itex](x)H[itex]_{n}[/itex](x) though it wont have to do with my 1st question directly & change of variable: z=x[itex]^{2}[/itex]



    3. The attempt at a solution: procedure: dy/dx=2[itex]\sqrt{z}[/itex]dy/dz
    1st Question: I want to find now the second derivative: d[itex]^{2}[/itex]y/dx[itex]^{2}[/itex] ... But all my attempts turn out to fail.

    2nd Question: Also why did we say y(x)=C[itex]_{n}[/itex](x)H[itex]_{n}[/itex](x)
     
  2. jcsd
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