Algebraic function

English

Noun

1. Template:Lb Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation. Template:C

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   • 1989, Manuel Bronstein, An Algorithm for the Integration of Elementary Functions, Template:W (editor), EUROCAL '87: European Conference on Computer Algebra, Proceedings, Springer, Template:W 378, page 491,

     Trager (1984) recently gave a new algorithm for the indefinite integration of algebraic functions.

   • 1992, A. A. Goldberg, V. A. Pyana, Uniqueness Theorems for Algebraic Functions, A. B. Sossinsky (translation editor), Template:W (editor), Entire and Subharmonic Functions, Template:W, page 199,

     It is known that the algebraic function $w=w(z)$ enables one to determine the polynomial $P(z,w)$ up to a constant factor.

   • 1993, Goro Kato (translator), Template:W, Algebraic Functions, Template:W, page xiv,

     Riemann provided a clear picture of many difficult topics. His most significant contribution, rather than his construction of a Riemann surface from an algebraic function, was to derive the existence of algebraic functions as he built his theory based on the concept of a Riemann surface.

Coordinate terms

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Translations

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See also

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Further reading

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• Algebraic Function on Template:W
• Algebraic function on Template:W