transcendental function

noun2

1. •
   Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.

   • An analytic function is transcendental (i.e., is a transcendental function) if and only if its Riemann surface is noncompact.
2. •
   A meromorphic function on the complex plane that is not a rational function.