factorization of poles

factorization of poles
факторизация полюсов

English-russian dictionary of physics. 2013.

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  • Weierstrass factorization theorem — In mathematics, the Weierstrass factorization theorem in complex analysis, named after Karl Weierstrass, asserts that entire functions can be represented by a product involving their zeroes. In addition, every sequence tending to infinity has an… …   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

  • Partial fractions in complex analysis — In complex analysis, a partial fraction expansion is a way of writing a meromorphic function f(z) as an infinite sum of rational functions and polynomials. When f(z) is a rational function, this reduces to the usual method of partial… …   Wikipedia

  • Butcher group — In mathematics, the Butcher group, named after the New Zealand mathematician John C. Butcher by Hairer Wanner (1974), is an infinite dimensional group first introduced in numerical analysis to study solutions of non linear ordinary differential… …   Wikipedia

  • Mittag-Leffler's theorem — In complex analysis, Mittag Leffler s theorem concerns the existence of meromorphic functions with prescribed poles. It is sister to the Weierstrass factorization theorem, which asserts existence of holomorphic functions with prescribed zeros. It …   Wikipedia

  • Factorial — n n! 0 1 1 1 2 2 3 6 4 24 5 120 6 720 7 …   Wikipedia

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  • Divisor (algebraic geometry) — In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties; two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil). These… …   Wikipedia

  • Hilbert's twenty-first problem — For Riemann Hilbert factorization problems on the complex plane see Riemann Hilbert. The twenty first problem of the 23 Hilbert problems, from the celebrated list put forth in 1900 by David Hilbert, was phrased like this (English translation from …   Wikipedia

  • Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it …   Wikipedia

  • Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) …   Wikipedia


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