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MathieuCharacteristicA[r, q]
gives the characteristic value ar for even Mathieu functions with characteristic exponent r and parameter q.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The characteristic value ar gives the value of the parameter a in y^(′′)+(a-2q cos(2z))y=0 for which the solution has the form e^(irz)f(z) where f(z) is an even function of z with period 2pi.
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