Mathieu and Spheroidal Functions

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Mathieu and Spheroidal Functions

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Mathieu and Spheroidal Functions (388 formulas)

Mathieu Functions

MathieuC[a,q,z] (34 formulas)

MathieuS[a,q,z] (32 formulas)

MathieuCPrime[a,q,z] (32 formulas)

MathieuSPrime[a,q,z] (31 formulas)

Mathieu Characteristics

MathieuCharacteristicA[r,q] (22 formulas)

MathieuCharacteristicB[r,q] (21 formulas)

MathieuCharacteristicExponent[a,q] (8 formulas)

Spheroidal Functions

SpheroidalPS[nu,mu,gamma,z] (32 formulas)

SpheroidalQS[nu,mu,gamma,z] (27 formulas)

SpheroidalS1[nu,mu,gamma,z] (21 formulas)

SpheroidalS2[nu,mu,gamma,z] (21 formulas)

SpheroidalPSPrime[nu,mu,gamma,z] (28 formulas)

SpheroidalQSPrime[nu,mu,gamma,z] (24 formulas)

SpheroidalS1Prime[nu,mu,gamma,z] (21 formulas)

SpheroidalS2Prime[nu,mu,gamma,z] (21 formulas)

Spheroidal Characteristics

SpheroidalEigenvalue[nu,mu,gamma] (11 formulas)

SpheroidalJoiningFactor[nu,mu,gamma] (1 formula)

SpheroidalRadialFactor[nu,mu,gamma] (1 formula)