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SpheroidalEigenvalue

SpheroidalEigenvalue[n, m,

]
gives the spheroidal eigenvalue with degree

and order

.

MORE INFORMATION

Mathematical function, suitable for both symbolic and numerical manipulation.

The spheroidal eigenvalues for successive correspond to the successive values of for which there exist normalizable solutions to the differential equation .

SpheroidalEigenvalue[n, m, 0]is equal to .

For certain special arguments, SpheroidalEigenvalue automatically evaluates to exact values.

SpheroidalEigenvalue can be evaluated to arbitrary numerical precision.

SpheroidalEigenvalue automatically threads over lists.

Basic Examples (2)

Evaluate numerically:

Series expansion in the spherical limit:

Applications (2)

Possible Issues (1)

SpheroidalS1 SpheroidalS2 SpheroidalPS SpheroidalQS MathieuCharacteristicA

Spheroidal Functions

Functions Used in Quantum Mechanics

Special Functions

Spheroidal and Related Functions

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