SpheroidalPS[n, m, , z]
gives the angular spheroidal function of the first kind.


  • 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, ].
  • SpheroidalPS[n, m, 0, z] is equivalent to LegendreP[n, m, z].
  • SpheroidalPS[n, m, a, , z] gives spheroidal functions of type . The types are specified as for LegendreP.
  • For certain special arguments, SpheroidalPS automatically evaluates to exact values.
  • SpheroidalPS can be evaluated to arbitrary numerical precision.
  • SpheroidalPS automatically threads over lists.
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