This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)


gives the derivative with respect to of the radial spheroidal function of the first kind.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For certain special arguments, SpheroidalS1Prime automatically evaluates to exact values.
Evaluate numerically:
Evaluate numerically:
Click for copyable input
Evaluate for complex arguments and parameters:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
For certain parameters SpheroidalS1Prime evaluates exactly:
TraditionalForm typesetting:
Find resonant frequencies for the Neumann problem in a prolate spheroidal cavity:
Determine the first few frequencies:
Spheroidal functions do not evaluate for half-integer values of and generic values of :
New in 6