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SpheroidalS2

SpheroidalS2
gives the radial spheroidal function of the second kind.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The radial spheroidal functions satisfy the differential equation with the spheroidal eigenvalue given by SpheroidalEigenvalue.
  • The are normalized according to the Meixner-Schäfke scheme.
  • SpheroidalS2 can be evaluated to arbitrary numerical precision.
Evaluate numerically:
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
Evaluate for complex arguments and parameters:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
For certain parameters SpheroidalS2 evaluates exactly:
TraditionalForm typesetting:
Plot prolate and oblate functions:
Spheroidal functions do not evaluate for half-integer values of and generic values of :
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