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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