Abel test for convergence

матем. признак сходимости Абеля

English-Russian scientific dictionary. 2008.

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  • Convergence tests — In mathematics, convergence tests are methods of testing for the convergence, conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series. Contents 1 List of tests 2 Comparison 3 Examples …   Wikipedia

  • Abel's test — In mathematics, Abel s test (also known as Abel s criterion) is a method of testing for the convergence of an infinite series. The test is named after mathematician Niels Abel. There are two slightly different versions of Abel s test ndash; one… …   Wikipedia

  • Dirichlet's test — In mathematics, Dirichlet s test is a method of testing for the convergence of a series. It is named after mathematician Johann Dirichlet who published it in the Journal de Mathématiques Pures et Appliquées in 1862.[1] Contents 1 Statement 2… …   Wikipedia

  • Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… …   Wikipedia

  • Leibniz formula for pi — See Leibniz formula for other formulas known under the same name. In mathematics, the Leibniz formula for pi;, named after Gottfried Leibniz, states that:1 , , frac{1}{3} ,+, frac{1}{5} , , frac{1}{7} ,+, frac{1}{9} , , cdots ;=; frac{pi}{4}.!The …   Wikipedia

  • List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods …   Wikipedia

  • Extended negative binomial distribution — In probability and statistics the extended negative binomial distribution is a discrete probability distribution extending the negative binomial distribution.The distribution appeared in its general form in a paper by K. Hess, A. Liewald and K.D …   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

  • Convergent series — redirects here. For the short story collection, see Convergent Series (short story collection). In mathematics, a series is the sum of the terms of a sequence of numbers. Given a sequence , the nth partial sum Sn is the sum of the first n terms… …   Wikipedia

  • 1 − 2 + 3 − 4 + · · · — In mathematics, 1 − 2 + 3 − 4 + … is the infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation notation the sum of the first m terms of the series can be expressed as:sum {n=1}^m n( 1)^{n …   Wikipedia

  • Augustin Louis Cauchy — Infobox Scientist name = Augustin Louis Cauchy image width = 200px caption = Augustin Louis Cauchy birth date = birth date|1789|8|21|df=y birth place = Paris, France death date = death date and age|1857|5|23|1789|8|21|df=y death place = Sceaux,… …   Wikipedia


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