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Some monotonicity and limit results for the regularised incomplete gamma function

Wojciech Chojnacki (2008)

Annales Polonici Mathematici

Letting P(u,x) denote the regularised incomplete gamma function, it is shown that for each α ≥ 0, P(x,x+α) decreases as x increases on the positive real semi-axis, and P(x,x+α) converges to 1/2 as x tends to infinity. The statistical significance of these results is explored.

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