Skip to main contentModule y1f
Source - f_y1f
- Bessel of the second kind of order 1 (Y1)
- y1_transient_area 🔒
- y1f_asympt 🔒
- y1f_near_zero 🔒
- Generated by SageMath:
Evaluates:
y2 = -J1(x)log(x) + 1/x * (1 - sum((-1)^m(H(m)+H(m-1))/(2^mm!(m-1)!)x^(2m))
Y1(x) = 2/pi*(-y2(x)+(euler_gamma - log(2))*J1(x))
expressed as:
Y1(x)=log(x)W1(x) - Z1(x) - 2/(pix)
- y1f_small_argument_path 🔒
- This method on small range searches for nearest zero or extremum.
Then picks stored series expansion at the point end evaluates the poly at the point.