Submitted:
18 February 2018
Posted:
19 February 2018
Read the latest preprint version here
Abstract
In this paper described numerical expansion of natural-valued power function xn, in point x = x0 where n, x0 - natural numbers. Apply- ing numerical methods, that is calculus of finite differences, namely, discrete case of Binomial expansion is reached. Received results were compared with solutions according to Newton’s Binomial theorem and MacMillan Double Bi- nomial sum. Additionally, in section 4 exponential function’s ex representation is shown.
Keywords:
power function
; binomial coefficient
; binomial theorem
; finite difference
; perfect cube
; exponential function
; pascal’s triangle
; series representation
; binomial sum
; multinomial theorem
; multinomial coefficient
; binomial distribution
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