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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.

 20110819_doodles2.mws

20110818_section4-5a.txt

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.  

R3Infintyplots_S0=.mws

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

H1(t,s)=

sqrt(2/(Pi*s))*exp(I*(s-t*(Pi/2)-Pi/4))

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.

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:

log(x)-log(log(x))+log(log(x))/log(x)

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);

asympt(LambertW(0,x),x)

not very useful...

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

LambertW(0,x)


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

LambertW(0,x) 

 

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

 

series((1+1/n)^((1/2)/(sum(1/((2*k+1)*(2*n+1)^(2*k+1)), k = 0 .. m))), n = infinity, 10)

 

Upon using the preceding command in the maple i get

 

Error, (in asympt) unable to compute series

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