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Can't calculate numerical derivative of EllipticTheta

• To: mathgroup at smc.vnet.net
• Subject: [mg82659] Can't calculate numerical derivative of EllipticTheta
• From: Scott Hemphill <hemphill at hemphills.net>
• Date: Sat, 27 Oct 2007 06:06:37 -0400 (EDT)
• Reply-to: hemphill at alumni.caltech.edu

I realize that my version of Mathematica is getting a little old.  Is
this fixed in later releases?

In[1]:= $Version

Out[1]= 5.1 for Linux (October 25, 2004)

In[2]:= pdf[x_,x0_,sig_] := 1/(Sqrt[2Pi]sig) Exp[-(x-x0)^2/(2sig^2)];

In[3]:= Sum[pdf[x,0,sig],{x,-Infinity,Infinity}]

                                      2
                             -1/(2 sig )
        EllipticTheta[3, 0, E           ]
Out[3]= ---------------------------------
                 Sqrt[2 Pi] sig

In[4]:= f[sig_]=%;

In[5]:= f'[1.]

                                    (0,0,1)
Out[5]= -1. + 0.241971 EllipticTheta       [3, 0, 0.606531]

I expected to see a number on this last line.

Scott
-- 
Scott Hemphill	hemphill at alumni.caltech.edu
"This isn't flying.  This is falling, with style."  -- Buzz Lightyear

• Follow-Ups:
  • Re: Can't calculate numerical derivative of EllipticTheta
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>