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Re: bad Mathieu functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg108291] Re: bad Mathieu functions
  • From: Peter Pein <petsie at dordos.net>
  • Date: Fri, 12 Mar 2010 07:14:16 -0500 (EST)
  • References: <hnakhc$5p5$1@smc.vnet.net>

Am 11.03.2010 12:35, schrieb becko BECKO:
> I am no expert in Mathieu functions, but I don't think this gives the right result:
>
> ce1[r_, q_, z_] := MathieuCPrime[MathieuCharacteristicA[r, q], q, z]
>
> Plot[I ce1[3, q, I], {q, 0, 1000}]
>
>
> In another system you get a smooth graph, making very small oscillations about zer o as q increases.
...

Oh yes, these oscillations are really tiny as you can see with 
Mathematica using:

Plot[I ce1[3,q,I] /. q->SetPrecision[qq,123], {qq, 750, 1000}, 
Frame->True, Axes->None]



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