transcendental function

noun

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.”

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Meanings

nountranscendental function (plural transcendental functions)

plural transcendental functions

  1. mathematical analysisAny 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. specificallycomplex analysisA meromorphic function on the complex plane that is not a rational function.
Cite this entry
APA

transcendental function. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/transcendental%20function

MLA

“transcendental function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/transcendental%20function. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “transcendental function,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/transcendental%20function.

Source: transcendental function on Wiktionary, CC BY-SA 4.0.