refer function name by a variable in the function body

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