MaplePrimes - Questions and Posts tagged with asymptotic

simple asymptotic expansion

mriedel — Sat, 02 Mar 2013 21:42:50 Z

Dear friends,

I wonder how I would go about calculating the asymptotic expansion of

sum(5^j/j, j=1..m+1)?

The motivation for this calculation can be found here. The correct answer is

5/4 5^(m+1)/(m+1).

The classic asympt and the one from multiseries both fail on this one.

Thanks,

Marko Riedel

kh2n — Sat, 20 Aug 2011 23:57:05 Z

Hi,

I am trying to plot this function Sigma(R30) but I get failed to do so. Any one would like to try to help me out?

The attached maple sheet contains the asymptotic solution of the huge equation in .txt file.

thx.

kh2n — Sat, 02 Jul 2011 09:16:56 Z

I am sorry for bothering you all with the asymptotic again and again. Actually I am unable to find a magic way to evaluate an asymptotic expension.

hermitian — Mon, 30 May 2011 15:44:04 Z

In Arfken(Mathematical methods for physicists,5-th edition,page 483),the asymptotic form of the Hankel function is approximated as

H1(t,s)=

Is there any simple/direct way in Maple(using HankelH1(),or otherwise) to achieve this?I don't want to assign numerical values to t or s.

edgar — Mon, 30 May 2011 13:57:34 Z

I'm using Maple 15. It seems to me this worked in some previous version...

Consider the Lambert W function, y=LambertW(0,x) ... I want Maple to tell me the asymptotics for it,

something like this:

But I don't get that now. Is my memory faulty that I got it in the past?

Maple 15:

asympt(LambertW(0,x),x);

not very useful...

series(LambertW(0,x),x=infinity);


with(MultiSeries):
series(LambertW(0,x),x=infinity);

barefoot1980 — Thu, 10 Mar 2011 15:04:36 Z

I am interested in finding the asymptofic constant (Big O(1/n^(2m+2)) for the following expansion

Upon using the preceding command in the maple i get

Error, (in asympt) unable to compute series