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MathGroup Archive 1999

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Series[] problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg18420] Series[] problem
  • From: Attico Nicola <nicola at Linuz.sns.it>
  • Date: Wed, 7 Jul 1999 00:11:14 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,
I post a little problem with the
command Series[].
Someone can explain me why this stupid
result?
Or I, im stupid?
It's true that one can find the same way
to do the same thing without errors,
but i find it strange...

Bye

Nicola


******************************************************

In[1]:= Series[BesselK[n,x],{x,Infinity,2}] 

                                     2       Pi   1 3/2
                            (-1 + 4 n ) Sqrt[--] (-)
              Pi       1                     2    x
Out[1]= (Sqrt[--] Sqrt[-] + --------------------------- + 
              2        x                 8
 
                2           2       Pi   1 5/2
       (-9 + 4 n ) (-1 + 4 n ) Sqrt[--] (-)
                                    2    x         1 7/2     x
>      --------------------------------------- + O[-]   ) / E
                         128                       x


In[2]:= Series[BesselK[n,x/2],{x,Infinity,2}]

                                                              x     1 2
Series::esss: Essential singularity encountered in BesselK[n, - + O[-] ].
                                                              2     x

                   x     1 2
Out[2]= BesselK[n, - + O[-] ]
                   2     x

*********************************************



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