Transcendental function

In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function.[1][2] In other words, a transcendental function "transcends" algebra in that it cannot be expressed algebraically using a finite amount of terms.

Examples of transcendental functions include the exponential function, the logarithm, and the trigonometric functions.

  1. ^ Townsend, E.J. (1915). Functions of a Complex Variable. H. Holt. p. 300. OCLC 608083625.
  2. ^ Hazewinkel, Michiel (1993). Encyclopedia of Mathematics. Vol. 9. pp. 236.