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单词 Oblate Spheroidal Wave Function
释义

Oblate Spheroidal Wave Function

The wave equation in Oblate Spheroidal Coordinates is

(1)
where
(2)

Substitute in a trial solution
(3)

The radial differential equation is


(4)

and the angular differential equation is


(5)

(Abramowitz and Stegun 1972, pp. 753-755).

See also Prolate Spheroidal Wave Function


References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Spheroidal Wave Functions.'' Ch. 21 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 751-759, 1972.


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