MathieuCharacteristicA[r, q]
gives the characteristic value for even Mathieu functions with characteristic exponent r and parameter q.


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The characteristic value gives the value of the parameter in for which the solution has the form , where is an even function of with period .
  • For certain special arguments, MathieuCharacteristicA automatically evaluates to exact values.
  • MathieuCharacteristicA can be evaluated to arbitrary numerical precision.
  • MathieuCharacteristicA automatically threads over lists.
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