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SpheroidalPSPrime

SpheroidalPSPrime
gives the derivative with respect to of the angular spheroidal function of the first kind.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For certain special arguments, SpheroidalPSPrime automatically evaluates to exact values.
Evaluate numerically:
Expansion about the spherical case:
Plot :
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
Expansion about the spherical case:
In[1]:=
Click for copyable input
Out[1]=
 
Plot :
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 SpheroidalPSPrime evaluates exactly:
TraditionalForm formatting:
SpheroidalPSPrime of different types have different branch cut structures:
Plot prolate and oblate versions of the same angular function:
Spheroidal functions do not evaluate for half-integer values of and generic values of :
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