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SpheroidalQS

SpheroidalQS[n, m,

, z]
gives the angular spheroidal function

of the second kind.

MORE INFORMATION

Mathematical function, suitable for both symbolic and numerical manipulation.

The angular spheroidal functions satisfy the differential equation with the spheroidal eigenvalue given by SpheroidalEigenvalue[n, m, ].

SpheroidalQS[n, m, 0, z] is equivalent to LegendreQ[n, m, z].

SpheroidalQS[n, m, a, , z] gives spheroidal functions of type . The types are specified as for LegendreP.

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

SpheroidalQS can be evaluated to arbitrary numerical precision.

SpheroidalQS automatically threads over lists.

Basic Examples (3)

Evaluate numerically:

Expansion about the spherical case:

Plot

:

Generalizations & Extensions (1)

Applications (2)

Possible Issues (1)

LegendreQ SpheroidalPS

Spheroidal Functions

Special Functions

Spheroidal and Related Functions

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