Trans-transcendental numbers

May 2015
516
32
Arlington, VA
According to Wolfram MathWorld:

A transcendental number is a (possibly complex) number that is not the root of any integer polynomial, meaning that it is not an algebraic number of any degree.
But what if it were the root of a transcendental polynomial itself?
 

mathman

Forum Staff
May 2007
6,929
774
Example: Let T be a transcendental number. Then x-T=0 has T as the root.