algebraic function

Noun

 * 1)  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.
 * 2) * 1989, Manuel Bronstein, An Algorithm for the Integration of Elementary Functions, (editor), EUROCAL '87: European Conference on Computer Algebra, Proceedings, Springer,  378, page 491,
 * Trager (1984) recently gave a new algorithm for the indefinite integration of algebraic functions.
 * 1) * 1992, A. A. Goldberg, V. A. Pyana, Uniqueness Theorems for Algebraic Functions, A. B. Sossinsky (translation editor), (editor), Entire and Subharmonic Functions,, 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.
 * 1) * 1993, Goro Kato (translator),, Algebraic Functions, , 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.
 * 1) * 1993, Goro Kato (translator),, Algebraic Functions, , 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.

Translations

 * Czech: algebraická funkce
 * French: fonction algébrique
 * German: algebraische Funktion
 * Portuguese: função algébrica
 * Serbo-Croatian: algebarska funkcija
 * Swedish: