Subject: finding out if expr has the form F(y/x^a)
From: Richard Fateman
Date: Tue, 11 Dec 2012 17:05:06 -0800
On 12/11/2012 2:39 PM, NB wrote:
> Dear all,
>
> I would like to find out if an expression is of (or can be written in) the
> general form (y/x)*f(y/x^a), with 'a' a nonzero constant. The difficulty I
> have here is the generality of the function f. You can have:
> expr:y^3+1/x^(3/2);
> or:
> expr:(y/x)*sin(y^2/x^4 + y^3/x^6);
>
> I think it reduces to this:
> (after dividing by y/x,) How to find out if there is a constant 'a' for which
> a substitution H=y/x^a leads to an expression free of x and y?
>
>
> Best,
> NB
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try ratsubst(z,y/x, expression)
for a start.
RJF