Numerical checks of equations 18.10.9-11, page 650. Function returns LHS minus RHS.

e18.10.9(parameters)

Arguments

parameters

An object of class “parameters”

Value

Returns a complex vector of length three: \(e_1\), \(e_2\), \(e_3\)

References

M. Abramowitz and I. A. Stegun 1965. Handbook of Mathematical Functions. New York, Dover.

Author

Robin K. S. Hankin

Note

A good check for the three \(e\)'s being in the right order.

Examples

e18.10.9(parameters(g=c(0,1)))
#> [1] -2.654255e+01+15.32435i  2.654255e+01+15.32435i  5.329071e-15-30.64869i
e18.10.9(parameters(g=c(1,0)))
#> [1] -7.105427e-15+0i  0.000000e+00+0i  7.105427e-15+0i