Hill Determinant
A Determinant which arises in the solution of the second-order Ordinary Differential Equation
 | (1) |
 | (2) |
 | (3) |
can be computed using the Hill determinant | (4) |
 |  |  | (5) |
 | |  | (6) |
 | |  | (7) |
and
is the variable to solve for. The determinant can be given explicitly by the amazing formula | (8) |
 | (9) |
leading to the implicit equation for ,
 | (10) |
References
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 555-562, 1953.
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