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asymptotic integration

См. также в других словарях:

  • Asymptotic theory — is the branch of mathematics which studies properties of asymptotic expansions.The most known result of this field is the prime number theorem:Let pi;( x ) be the number of prime numbers that are smaller than or equal to x .The limit:lim {x… …   Wikipedia

  • Asymptotic expansion — In mathematics an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a …   Wikipedia

  • Nikolay Bogolyubov — For the actor, see Nikolay Bogolyubov (actor). Nikolay Nikolaevich Bogolyubov Born 21 August 1909( …   Wikipedia

  • Wladimir Semjonowitsch Pugatschow — (russisch Владимир Семёнович Пугачёв; engl. Notation: Vladimir Semenovich Pugacev; * 12. Märzjul./ 25. März 1911greg. in Rjasan; † 25. März 1998 in Moskau) war ein russischer Mathematiker. Er gilt in Russland als der erste… …   Deutsch Wikipedia

  • Produit de Wallis — En mathématiques, le produit de Wallis est une expression de la moitié de la constante π sous la forme d un produit infini, énoncée en 1655 par John Wallis, dans son ouvrage Arithmetica infinitorum. Sommaire 1 Expression 2 Démonstration 3 Vitesse …   Wikipédia en Français

  • Bessel function — In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel s differential equation: for an arbitrary real or complex number α (the order of the …   Wikipedia

  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

  • Airy function — This article is about the Airy special function. For the Airy stress function employed in solid mechanics, see Stress functions. In the physical sciences, the Airy function Ai(x) is a special function named after the British astronomer George… …   Wikipedia

  • Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

  • Méthode de la phase stationnaire — En mathématiques, la méthode de la phase stationnaire permet d évaluer le comportement asymptotique d une intégrale du type : lorsque . (avec i2 = − 1) Sommaire 1 Idée générale …   Wikipédia en Français

  • Stationary phase approximation — In mathematics, the stationary phase approximation is a basic principle of asymptotic analysis, applying to oscillatory integrals taken over n dimensional space Rn where i is the imaginary unit. Here f and g are real valued smooth functions. The… …   Wikipedia

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