MathGroup Archive 2005

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Re: MeijerG again


in 5.1 this is what you get after simplifying:

input:

DSolve[{Sin[t]*f''[t] + Cos[t]*f'[t] + 3/4*Sin[t]*f[t] == 
0, f[-Pi/2] == 1 , f'[-Pi/2] == 0}, f[t], t]

result:

(8*Sqrt[Pi]*(Pi*LegendreP[1/2, Cos[t]]*
     LegendreQ[-(1/2), 0] - 2*EllipticK[1/2]*
     LegendreQ[1/2, Cos[t]]))/(8*Pi^(3/2) + 
   EllipticK[1/2]*Gamma[-(1/4)]^2)


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