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liangzilixue

铜虫 (小有名气)

[求助] 求助Mathematica高手,帮我看看程序有没问题,急!

附件中是函数的表达式及相关说明,下面是程序,麻烦高手帮忙看下,谢谢先!
另外还有一个问题:在Mathematica中如何计算Hankel逆变换?
<< PlotLegends`

Clear["`*"]


Mittag = 0;
For[i = 0, i < 10, i++, Mittag = Mittag + t^i/Gamma[alpha*i + beta]];

Interme = 0;
For[k = 0, k < 6, k++,
     For[m = 0, m <= k, m++,
                 Interme2 = 0;
                 
  Interme2 =
   D[Mittag, {t, k}] /. {t -> -t^alpha/lambda,
     beta -> alpha - beta*m + k + 2};
                 
  Interme =
   Interme + (-1)^k*(varepsilon^2 + eta^2)^(k + 1)*lambdat^m*
     t^(alpha*k + alpha - beta*m + k + 1)*
     Interme2/lambda^(k + 1)/m!/(k - m)!;
      ]
  ]


pp1 = BesselJ[varepsilon*r, 1]*(1 - Interme) /. {alpha -> 0.5,
    beta -> 0.8, eta -> 1, lambda -> 6, lambdat -> 4, t -> 1};
pp2 = BesselJ[varepsilon*r, 1]*(1 - Interme) /. {alpha -> 0.5,
    beta -> 0.8, eta -> 1, lambda -> 6, lambdat -> 4, t -> 5};
pp3 = BesselJ[varepsilon*r, 1]*(1 - Interme) /. {alpha -> 0.5,
    beta -> 0.8, eta -> 1, lambda -> 6, lambdat -> 4, t -> 10};
\[Omega]1 = Integrate[pp1, {varepsilon, 0, 100}]
\[Omega]2 = Integrate[pp2, {varepsilon, 0, 100}]
\[Omega]3 = Integrate[pp3, {varepsilon, 0, 100}]
Plot[{\[Omega]1, \[Omega]2, \[Omega]3}, {r, 0, 5},
AxesOrigin -> {0, 0}, Frame -> True , FrameLabel -> {r, \[Omega]},
PlotStyle -> {Black, Red, Blue},
PlotLegend -> {"t=1", "t=5", "t=10"}][ Last edited by liangzilixue on 2013-3-10 at 09:37 ]
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  • 附件 1 : 函数表达式.docx
  • 2013-03-10 09:25:26, 38.93 K

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liangzilixue

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