transcendental function

English

transcendental function (plural transcendental functions)

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

单词	transcendental function
释义	transcendental function English Noun transcendental function (plural transcendental functions) (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. (specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function. Further reading Transcendental function on Wikipedia.Wikipedia Transcendental function on Encyclopedia of Mathematics Transcendental Function on Wolfram MathWorld
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