Re: $B(B(s)$B$,"i(B_0^$B!g(Bx^{s-1}exp(-x)dx$B$N2r@O@\B3$K$J$C$F$$$k;v$N>ZL@$G(B
$B$42sEz@?$KM-Fq$&$4$6$$$^$9!#(B
>>> $B$5$F(B,
>>> f_n(x) = x^{s-1} (1 - x/n)^n (0 < x < n)
>>> = 0 (otherwise)
>>> $B$H$$$&4X?tNs$K$D$$$F(B, |f_n(x)| $B$O$I$&$+$H$$$&$H(B,
>>> g(t, x) = (1 - x/t)^t (0 < x < t)
>> $Bo<(B}$B5VQd%?=~=~$(D??$B_n!&!&(B?$BQb%?$OC1D4A}2CNs$G$"$k$3$H$,$o$+$j$^$9(B.
>> http://www.geocities.jp/a_k_i_k_o928346/prop199_9525__00.jpg
>> $B$H$J$j$^$7$?$,$I$&$7$F(B(ln(1-x/t)+x/(t-x))g(t,x)$B$HJQ7A$G$-$k$N$G$7$g$&$+(B?
> $B5.J}$N7W;;$O(B (\partial/\partail t)(1 - x/t)^t $B$N7W;;$,(B
> $B4V0c$C$F$$$^$9(B. $BFs2U=j$K(B t $B$,8=$l$k$N$G$9$+$i(B, $B$=$l$>$l$N(B
> $BHyJ,$N9`$NOB$K$J$j$^$9(B. $B7W;;$,J,$+$j$d$9$$$h$&$K(B,
> \log g(t, x) = t \log(1 - x/t) $B$NHyJ,$r$7$F$_$;$?$N$G$9$,(B,
> $BJ,$+$j$^$;$s$G$7$?$+(B. $B:8JU$NHyJ,$O(B
> (\partial g/\partial t)(t, x)/g(t, x),
> $B1&JU$NHyJ,$O(B
> \log(1 - x/t) + t \times (1/(1 - x/t)) \times (x/t^2)
> = \log(1 - x/t) + x/(t - x)
> $B$G$"$k$N$G(B,
> (\partial g/\partial t)(t, x) = (\log(1 - x/t) + x/(t - x)) g(t, x)
> $B$G$9(B.
$B$J$k$[$I$G$9!#(B
http://www.geocities.jp/a_k_i_k_o928346/prop199_9525__01.jpg
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