Details

Mathematical function, suitable for both symbolic and numerical manipulation.
For certain special arguments, SpheroidalJoiningFactor automatically evaluates to exact values.
SpheroidalJoiningFactor can be evaluated to arbitrary numerical precision.
SpheroidalJoiningFactor automatically threads over lists.

Examples

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Evaluate numerically:

Plot over a subset of the reals:

Evaluate numerically:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Complex number inputs:

Evaluate efficiently at high precision:

Value at zero:

Find a value of x for which SpheroidalJoiningFactor[0,1/2,x]=5:

SpheroidalJoiningFactor threads elementwise over lists:

Plot the real part of SpheroidalJoiningFactor[2,1,x+i y]:

Plot the imaginary part of SpheroidalJoiningFactor[2,1,x+i y]:

A relation between radial and angular spheroidal functions:

Check numerically:

Spheroidal functions do not evaluate for half-integer values of and generic values of :

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