SpheroidalRadialFactor

SpheroidalRadialFactor[n,m,c]

gives the spheroidal radial factor with degree n and order m.

Details

Examples

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Basic Examples  (2)

Evaluate numerically:

Plot over a subset of the reals:

Scope  (8)

Numerical Evaluation  (4)

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:

Specific Values  (2)

Value at zero:

Find the first positive maximum of SpheroidalRadialFactor[3,2,x]:

Visualization  (2)

Plot the SpheroidalRadialFactor function:

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

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

Applications  (1)

Build a near-spherical approximation to :

First few terms of the approximation:

Compare numerically:

Introduced in 2007
 (6.0)