Special theta function
- To: mathgroup at smc.vnet.net
- Subject: [mg44718] Special theta function
- From: poujadej at yahoo.fr (Jean-Claude Poujade)
- Date: Sat, 22 Nov 2003 02:17:13 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Bonjour le groupe,
Given this test (performed with Mathematica 4.1):
In[1]:={Sqrt[s]EllipticTheta[3, 0, E^(-Pi s)],
EllipticTheta[3, 0, E^(-Pi/s)]} /. s -> Infinity
Out[1]={Infinity, EllipticTheta[3, 0, 1]}
it seems to me that
EllipticTheta[3, 0, 1]
or at least
Limit[EllipticTheta[3, 0, q], q -> 1, Direction -> 1]
should return Infinity.
Is it the same with Mathematica 5.0 ?
---
jcp