Problems with JacobiAmplitude function

*To*: mathgroup at smc.vnet.net*Subject*: [mg23898] Problems with JacobiAmplitude function*From*: "Valeria Olivati" <olivaleNNN at tin.it>*Date*: Thu, 15 Jun 2000 00:51:39 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Hallo eveybody, I'm a student of Mathematics at University of Pavia, Italy. I start using Mathematica 4 two months ago, and I have a problem in plotting the JacobiAmplitude function implemented in Mathematica. I do Plot3D[JacobiAmplitude[u,m], {u,0,10},{m,-6,6},PlotPoints->32,BoxRatios->{1,0.6,0.6},ViewPoint->{1.863,1. 939,2.054},Lighting->False,ColorFunction->Hue] but I obtain a non simmetrical plot as it should be, because JacobiAmplitude has to be simmetrical respect to the second parameter (the m of my plot). I tried to use the definition of Amplitude function as phi = Am(u,m) where u is the integral of 1/(Sqrt[1-m*(Sin[phi])^2] d phi but I'm not so experienced with Mathematica and obtained only errors... Could someone help me? Thanks Best Regards Olivati Valeria olivati at dimat.unipv.it