#4230: implement arbitrary precision Bessel Y function
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Reporter: AlexGhitza | Owner: burcin
Type: enhancement | Status: new
Priority: minor | Milestone: sage-3.2
Component: calculus | Keywords:
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At the moment, Sage uses Maxima to compute the Bessel Y function. This is
slow and works only with the default 53 bits of precision. It would be
fairly easy to implement this:
* for integer values of the order nu, use the mpfr yn function
* for non-integer values of nu, use the formula $Y_nu(z) =
(J_nu(z)*cos(nu*pi) - J_{-nu}(z))/sin(nu*pi)$, where J is the Bessel J
function.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4230>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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