Re: Speeding up HermiteH[Range[0,p],x]

*To*: mathgroup at smc.vnet.net*Subject*: [mg72403] Re: Speeding up HermiteH[Range[0,p],x]*From*: David Bailey <dave at Remove_Thisdbailey.co.uk>*Date*: Mon, 25 Dec 2006 04:52:39 -0500 (EST)*References*: <emdofq$jom$1@smc.vnet.net>

Hello, I think what you are asking is why, in expressions such as HermiteH[Range[0,p],x], Mathematica does not do what a mathematician might do, and calculate one value from the previous one using a recurrence relation. However, can you imagine the number of special cases of this sort that would have to be coded into Mathematica software to make this a reality! Also, at least for some functions, the repeated use of a recurrence relation might build up rounding errors if x is numeric. David Bailey http://www.dbaileyconsultancy.co.uk