pub fn biryprime<T: BesselFloat>(z: Complex<T>) -> Result<Complex<T>, Error>Expand description
Derivative of the Airy function of the second kind, Bi’(z).
Computes the derivative of Bi(z) for complex z. Bi’(z) grows super-exponentially for large positive real z, just as Bi(z) does. Satisfies the differential equation Bi′′(z) = z · Bi(z).
§Example
use complex_bessel::biryprime;
use num_complex::Complex;
let z = Complex::new(0.0_f64, 0.0);
let bi_prime = biryprime(z).unwrap();
assert!((bi_prime.re - 0.4483).abs() < 1e-3); // Bi'(0) ≈ 0.4483§Errors
Error::Overflowif |z| is too large for a finite result.Error::TotalPrecisionLossif |z| is too large for any significant digits (roughly > 10⁶ for f64).Error::ConvergenceFailureif an internal series or recurrence does not converge (rare).