At http://www.jsoftware.com/jwiki/Phrases/SpecialFunctions, I find
BesselJ=: 1 : '(i.0) H. (1+m.)@(_0.25&*)@*: * ^&m...@-: % (!m.)"_' J0=: 0 BesselJ J1=: 1 BesselJ Looks like "J1" agrees with yours: J1 0.1*i.11 0 0.049937526 0.099500833 0.14831882 0.19602658 0.24226846 0.28670099 0.32899574 0.36884205 0.40594955 0.44005059 On Wed, Jun 17, 2009 at 11:25 AM, Cliff Reiter <[email protected]>wrote: > OK, I looked in the book I recommended to myself and > > BesselJ=:1 : '(^&m@:-: % (!m)"_)* [: ''''H. (m+1) _0.25 * *:' > 1 BesselJ 0.1*i.11 > 0 0.0499375 0.0995008 0.148319 0.196027 0.242268 0.286701 0.328996 > 0.368842 0.40595 0.440051 > 2 BesselJ 0.1*i.11 > 0 0.00124896 0.00498335 0.0111659 0.0197347 0.030604 0.0436651 0.0587869 > 0.0758178 0.0945863 0.114903 > > seems to agree with MMA, so I think I'm good. > > > Cliff Reiter wrote: > > In JfC pages Bessel are functions mentioned but the file that > > mentions on the web no longer exists. Also, BesselJ2 appears > > in the vibrating drum opengl demo. Does anyone have > > BesselJ1 in J? I know it is a fairly simple variant of > > hypergeometric H. and I will wade in Abramowitz and Stegun > > if need be, but if someone has it handy, or better, > > a collection of hypergeometrics, all the better. > > Best, Cliff > > > > -- > Clifford A. Reiter > Mathematics Department, Lafayette College > Easton, PA 18042 USA, 610-330-5277 > http://www.lafayette.edu/~reiterc <http://www.lafayette.edu/%7Ereiterc> > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > -- Devon McCormick, CFA ^me^ at acm. org is my preferred e-mail ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
