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Important for elliptical shapes and periodic potentials, the Wolfram Language achieves a new level of implementation for Mathieu-related functions, supporting arbitrary-precision evaluation for all complex values of parameters.

Mathieu Functions and Derivatives

MathieuS   MathieuC   MathieuSPrime   MathieuCPrime

Characteristic Values and Exponents

MathieuCharacteristicA   MathieuCharacteristicB   MathieuCharacteristicExponent

Related Tech Notes

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