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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 :
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