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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