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The Li function is defined in Maple as

> FunctionAdvisor(Li, definition)
               [Li(z) = Ei(ln(z)), with no restrictions on (z)]

Special values are known

> FunctionAdvisor(Li, special_values)
Warning: when function identities information is required, only one argument -
the function name - is expected. Extra arguments are being ignored.
          ...

The problem

Back in 1996 I was working for the Symbolic Computation Group at the University of Waterloo, developing algorithms and code...

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) 

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