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Binomial Series -- from Wolfram MathWorld

There are several related series that are known as the binomial series. The most general is (x+a)^nu=sum_(k=0)^infty(nu; k)x^ka^(nu-k), (1) where (nu; k) is a binomial coefficient and nu is a real number. This series converges for nu>=0 an integer, or |x/a|<1 (Graham et al. 1994, p. 162). When nu is a positive integer n, the series terminates at n=nu and can be written in the form (x+a)^n=sum_(k=0)^n(n; k)x^ka^(n-k). (2) The theorem that any one of these (or several other...



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Binomial Series -- from Wolfram MathWorld

https://mathworld.wolfram.com/BinomialSeries.html

There are several related series that are known as the binomial series. The most general is (x+a)^nu=sum_(k=0)^infty(nu; k)x^ka^(nu-k), (1) where (nu; k) is a binomial coefficient and nu is a real number. This series converges for nu>=0 an integer, or |x/a|<1 (Graham et al. 1994, p. 162). When nu is a positive integer n, the series terminates at n=nu and can be written in the form (x+a)^n=sum_(k=0)^n(n; k)x^ka^(n-k). (2) The theorem that any one of these (or several other...



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https://mathworld.wolfram.com/BinomialSeries.html

Binomial Series -- from Wolfram MathWorld

There are several related series that are known as the binomial series. The most general is (x+a)^nu=sum_(k=0)^infty(nu; k)x^ka^(nu-k), (1) where (nu; k) is a binomial coefficient and nu is a real number. This series converges for nu>=0 an integer, or |x/a|<1 (Graham et al. 1994, p. 162). When nu is a positive integer n, the series terminates at n=nu and can be written in the form (x+a)^n=sum_(k=0)^n(n; k)x^ka^(n-k). (2) The theorem that any one of these (or several other...

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      Binomial Series -- from Wolfram MathWorld
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      There are several related series that are known as the binomial series. The most general is (x+a)^nu=sum_(k=0)^infty(nu; k)x^ka^(nu-k), (1) where (nu; k) is a binomial coefficient and nu is a real number. This series converges for nu>=0 an integer, or |x/a|<1 (Graham et al. 1994, p. 162). When nu is a positive integer n, the series terminates at n=nu and can be written in the form (x+a)^n=sum_(k=0)^n(n; k)x^ka^(n-k). (2) The theorem that any one of these (or several other...
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      There are several related series that are known as the binomial series. The most general is (x+a)^nu=sum_(k=0)^infty(nu; k)x^ka^(nu-k), (1) where (nu; k) is a binomial coefficient and nu is a real number. This series converges for nu>=0 an integer, or |x/a|<1 (Graham et al. 1994, p. 162). When nu is a positive integer n, the series terminates at n=nu and can be written in the form (x+a)^n=sum_(k=0)^n(n; k)x^ka^(n-k). (2) The theorem that any one of these (or several other...

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      Binomial Series -- from Wolfram MathWorld
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      There are several related series that are known as the binomial series. The most general is (x+a)^nu=sum_(k=0)^infty(nu; k)x^ka^(nu-k), (1) where (nu; k) is a binomial coefficient and nu is a real number. This series converges for nu>=0 an integer, or |x/a|<1 (Graham et al. 1994, p. 162). When nu is a positive integer n, the series terminates at n=nu and can be written in the form (x+a)^n=sum_(k=0)^n(n; k)x^ka^(n-k). (2) The theorem that any one of these (or several other...

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      There are several related series that are known as the binomial series. The most general is (x+a)^nu=sum_(k=0)^infty(nu; k)x^ka^(nu-k), (1) where (nu; k) is a binomial coefficient and nu is a real number. This series converges for nu>=0 an integer, or |x/a|<1 (Graham et al. 1994, p. 162). When nu is a positive integer n, the series terminates at n=nu and can be written in the form (x+a)^n=sum_(k=0)^n(n; k)x^ka^(n-k). (2) The theorem that any one of these (or several other...
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