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Mathematica > Mathieu and Related Functions >

Built-in Mathematica Symbol

MathieuCharacteristicExponent

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

All Mathieu functions have the form where has period and r is the Mathieu characteristic exponent.

For certain special arguments, MathieuCharacteristicExponent automatically evaluates to exact values.

MathieuCharacteristicExponent can be evaluated to arbitrary numerical precision.

Evaluate numerically: