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 αC 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:

    I look on trade and every mechanical craft as education also. But let me discriminate what is precious herein. There is in each of these works an act of invention, an intellectual step, or short series of steps taken; that act or step is the spiritual act; all the rest is mere repetition of the same a thousand times.
    Ralph Waldo Emerson (1803–1882)