Re: asymptotics

*To*: mathgroup at smc.vnet.net*Subject*: [mg76988] Re: asymptotics*From*: dimitris <dimmechan at yahoo.com>*Date*: Thu, 31 May 2007 03:25:36 -0400 (EDT)*References*: <200705241023.GAA21917@smc.vnet.net><f3jib4$doe$1@smc.vnet.net>

m... at inbox.ru : > On May 29, 4:05 am, dimitris <dimmec... at yahoo.com> wrote: > > Thanks a lot for your new response. > > I think it should be another function (no Series) that do this kind > > of asymptotic expansions. There are some commands that the other > > CAS has and I wish Mathematica had (as probably there are various things > > of Mathematica that a user from the other CAS would want to his system!) > > but that's life. For example the function identify that appears in a recent > > question of Daniel Huber I think or the function convert that I really wish > > Mathematica had something similar. > > > > And if, you and Maxim pointed out an asymptotic series like this in > > the current thread is indeed a simple task for someone to do by the > > Series command, for something like the following what you would say > > > > convert(log(x)*BesselJ(0,x)/sin(x^2),MeijerG); > > (output is omitted) > > > > Dimitris > > > > I would say that convert is a different matter altogether. If you > really need a conversion to MeijerG, you can try > > In[1]:= Integrate`Definite; > Integrate`ImproperDump`Mellin[Log[x] BesselJ[0, x]/Sin[x^2], x] > > Out[2]= Csc[x^2] Log[x] Integrate`ImproperDump`MeijerGfunction[{}, {}, > {0}, {0}, x^2/4] > > This is the output from version 6, and it's essentially the same as > what is given by the Mysterious Alternate Program (Largely Esteemed). > > Maxim Rytin > m.r at inbox.ru Now, I really learn something new! No comments! Thank you very much! Dimitris

**References**:**asymptotics***From:*dimitris <dimmechan@yahoo.com>