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:
“Life ... is not simply a series of exciting new ventures. The future is not always a whole new ball game. There tends to be unfinished business. One trails all sorts of things around with one, things that simply won’t be got rid of.”
—Anita Brookner (b. 1928)