Some monotonicity and limit results for the regularised incomplete gamma function

Wojciech Chojnacki. "Some monotonicity and limit results for the regularised incomplete gamma function." Annales Polonici Mathematici 94.3 (2008): 283-291. <http://eudml.org/doc/280704>.

@article{WojciechChojnacki2008,
abstract = {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.},
author = {Wojciech Chojnacki},
journal = {Annales Polonici Mathematici},
keywords = {gamma function; regularised incomplete gamma function; chi-square distribution; monotonicity},
language = {eng},
number = {3},
pages = {283-291},
title = {Some monotonicity and limit results for the regularised incomplete gamma function},
url = {http://eudml.org/doc/280704},
volume = {94},
year = {2008},
}

TY - JOUR
AU - Wojciech Chojnacki
TI - Some monotonicity and limit results for the regularised incomplete gamma function
JO - Annales Polonici Mathematici
PY - 2008
VL - 94
IS - 3
SP - 283
EP - 291
AB - 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.
LA - eng
KW - gamma function; regularised incomplete gamma function; chi-square distribution; monotonicity
UR - http://eudml.org/doc/280704
ER -