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meromorphic function

См. также в других словарях:

  • Meromorphic function — In complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points, which are poles for the function. (The terminology comes from the Ancient Greek meros …   Wikipedia

  • meromorphic function — |merə|mȯrfik , |mȯ(ə)f noun Etymology: meromorphic from mer (III) + morphic : a function of a complex variable that is regular in a region except for a finite number of points at which it has infinity for limit …   Useful english dictionary

  • Function field of an algebraic variety — In algebraic geometry, the function field of an algebraic variety V consists of objects which are interpreted as rational functions on V . In complex algebraic geometry these are meromorphic functions and their higher dimensional analogues; in… …   Wikipedia

  • meromorphic — [mer΄ō môr′fik] adj. [< Gr meros, part (see MERIT) + MORPHIC] Math. designating or of a function of a complex variable that is regular in a given domain except for a finite number of poles …   English World dictionary

  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

  • meromorphic — adjective Date: circa 1890 relating to or being a function of a complex variable that is analytic everywhere in a region except for singularities at each of which infinity is the limit and each of which is contained in a neighborhood where the… …   New Collegiate Dictionary

  • meromorphic — /mer euh mawr fik/, adj. Math. of or pertaining to a function that is analytic, except for poles, in a given domain. [‡1885 90; MERO + MORPHIC] * * * …   Universalium

  • meromorphic — adjective (Of a function) which is a ratio of two holomorphic functions …   Wiktionary

  • meromorphic — /mer euh mawr fik/, adj. Math. of or pertaining to a function that is analytic, except for poles, in a given domain. [‡1885 90; MERO + MORPHIC] …   Useful english dictionary

  • Doubly periodic function — In mathematics, a doubly periodic function is a function defined at all points on the complex plane and having two periods , which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v… …   Wikipedia

  • Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …   Wikipedia

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