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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)

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