MathieuCharacteristicExponent
MathieuCharacteristicExponent[a, q] gives the characteristic exponent r for Mathieu functions with characteristic value a and parameter q.
Examples
MathieuCharacteristicExponent[1, 0.5]Plot[MathieuCharacteristicExponent[a, 1], {a, 0, 10}]Please visit the official Wolfram Language Reference for more details.