Functions§
- f_y1
- Bessel of the second kind of order 1 ( Y1 )
- y0_
small_ 🔒argument_ moderate - y1_
asympt 🔒 - y1_
asympt_ 🔒fast - y1_
asympt_ 🔒hard - y1_
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)
- y1_
near_ 🔒zero_ fast - 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)
- y1_
small_ 🔒argument_ fast - 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.
- y1_
small_ 🔒argument_ hard - y1_
transient_ 🔒hard - y1_
transient_ 🔒zone - y1_
transient_ 🔒zone_ fast