Transcendental function

In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent variable that can be written using the basic operations of addition, subtraction, multiplication, and division. This is in contrast to an algebraic function.^[1][2]

Examples of transcendental functions include the exponential function, the logarithm, and the trigonometric functions. Equations over these expressions are called transcendental equations.