English Dictionary

transcendental function

noun

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

The transcendental function is used to solve complex mathematical problems.

意味（1）

(mathematical analysis) 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.

意味（2）

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