binomial series


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binomial series

[bī′nō·mē·əl ′sir·ēz]
(mathematics)
The expansion of (x + y) n when n is neither a positive integer nor zero. Also known as binomial expansion.
References in periodicals archive ?
As [beta] [right arrow] 0, expanding the square root in Equation (6) in its binomial series, we have [V.
The product of the annual year coefficients from the two delta-lognormal model components, which individually indicated less decline than the unstandardized indices, provided final indices of abundance that declined 64% over the time series (due to the product of two positive fractional values <1 providing a even smaller value <1)--nearly identical to the unstandardized, Poisson, and negative binomial series (Fig.
For summer flounder, Atlantic cod, scup, and all species, the delta-lognormal and delta-Poisson models provided time series of abundance indices that were more variable, with slightly different trends and annual changes, than the unstandardized, Poisson, and negative binomial series.