Geodesic
Some monotonicity and limit results for the regularised incomplete gamma function
Wojciech Chojnacki1
1School of Computer Science The University of Adelaide Adelaide, SA 5005, Australia and Wydzia/l Matematyczno-Przyrodniczy Szko/la Nauk Ścis/lych Uniwersytet Kardyna/la Stefana Wyszyńskiego Dewajtis 5, 01-815 Warszawa, Poland
Annales Polonici Mathematici, Tome 94 (2008) no. 3, pp. 283-291
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Letting $P(u,x)$ denote the regularised incomplete gamma function, it is shown that for each $\alpha \geq 0$, $P(x,x+\alpha )$ decreases as $x$ increases on the positive real semi-axis, and $P(x,x+\alpha )$ converges to $1/2$ as $x$ tends to infinity. The statistical significance of these results is explored.
DOI : 10.4064/ap94-3-7
Keywords: letting denote regularised incomplete gamma function shown each alpha geq alpha decreases increases positive real semi axis alpha converges tends infinity statistical significance these results explored

Wojciech Chojnacki  1

1 School of Computer Science The University of Adelaide Adelaide, SA 5005, Australia and Wydzia/l Matematyczno-Przyrodniczy Szko/la Nauk Ścis/lych Uniwersytet Kardyna/la Stefana Wyszyńskiego Dewajtis 5, 01-815 Warszawa, Poland 
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Wojciech Chojnacki. Some monotonicity and limit results for the
 regularised incomplete gamma function. Annales Polonici Mathematici, Tome 94 (2008) no. 3, pp. 283-291. doi: 10.4064/ap94-3-7

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