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


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

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