refer function name by a variable in the function body

Hi All:

I use the function name in the body of pgsql code of the same function. Is
the function name set to any variable that i can easily reference. Now I'm
hard coding the function name in the code.

create or replace function compute_X(a1 text) returns text as
.....
...
Begin
.....
....
select user into user_id;
raise info 'starting function compute_X as %' user_id || timeofday();

end;

In the above Raise info i use select user to get the login role, similarly
can i use a variable for function name which is automatically set by the
system.

Thanks,
-SR