Meaning

2 senses
  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. (specifically)A meromorphic function on the complex plane that is not a rational function.

transcendental function — meaning, examples, forms, synonyms | Krumeto