- Abel's binomial theorem
Abel's binomial theorem, named after
Niels Henrik Abel , states the following:
ee also
*
Binomial theorem
*Binomial type References
*
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Abel's binomial theorem
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binomial theorem — Math. the theorem giving the expansion of a binomial raised to any power. [1865 70] * * * In algebra, a formula for expansion of the binomial (x + y) raised to any positive integer power. A simple case is the expansion of (x + y)2, which is x2 +… … Universalium
Binomial series — In mathematics, the binomial series is the Taylor series at x = 0 of the function f given by f(x) = (1 + x) α, where α ∈ C is an arbitrary complex number. Explicitly, and the binomial series is the power series… … Wikipedia
Binomial type — In mathematics, a polynomial sequence, i.e., a sequence of polynomials indexed by { 0, 1, 2, 3, ... } in which the index of each polynomial equals its degree, is said to be of binomial type if it satisfies the sequence of identities:p n(x+y)=sum… … Wikipedia
Abel's theorem — In mathematics, Abel s theorem for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician Niels Henrik Abel.TheoremLet a = { a k : k ≥ 0} be any sequence of real or complex… … Wikipedia
Niels Henrik Abel — Born 5 August 1802( … Wikipedia
Niels Henrik Abel — Niels Henrik Abel. Niels Henrik Abel (* 5. August 1802 auf der Insel Finnøy, Ryfylke, Norwegen; † 6. April 1829 in Froland, Aust Agder, Norwegen) war ein norwegischer Mathematiker … Deutsch 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
List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… … Universalium
