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 on the right hand side of (1), expressed in terms of the (generalized) binomial coefficients

Read more about Binomial Series:  Special Cases, Summation of The Binomial Series, History, Elementary Bounds On The Coefficients

Famous quotes containing the word series:

    “As Cuvier could correctly describe a whole animal by the contemplation of a single bone, so the observer who has thoroughly understood one link in a series of incidents should be able to accurately state all the other ones, both before and after.”
    —Sir Arthur Conan Doyle (1859–1930)