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mathematical analysis > complex analysis > analytic function > transcendental function
mathematical analysis > real analysis > real-valued function > analytic function > transcendental function

Preferred term

transcendental function  

Definition

  • In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function. In other words, a transcendental function "transcends" algebra in that it cannot be expressed algebraically using a finite amount of terms.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Transcendental_function)

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