transcendental function
noun1
Mathematical analysis, Mathematics, Sciences 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
Complex analysis, Mathematics, Sciences Specifically A meromorphic function on the complex plane that is not a rational function.