X^4-12x^3+24x^2-30x+9 and its successive differences in factorial notation hence show that
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and \u394n[x]n = n !
Hence the result of difference [x]r is analogous to that of difference xr when
h = 1.
4.10 RECIPROCAL FACTORIAL
x(\u2013n) =
1
( )( )x n n+
, the interval of difference being unity.
By definition of x(n), we have
x(n) = (x \u2013 n \u2212 1 h) x(n\u20131) (11)
when the interval of difference is h.
Hence the result of difference [x]r is analogous to that of difference xr when
h = 1.
4.10 RECIPROCAL FACTORIAL
x(\u2013n) =
1
( )( )x n n+
, the interval of difference being unity.
By definition of x(n), we have
x(n) = (x \u2013 n \u2212 1 h) x(n\u20131) (11)
when the interval of difference is h.
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