最終更新日:2022/12/24
Considering the equation of the binomial coefficient n choose k described in terms of the factorial, replacing n with p + q and k with p, turning the RHS upside-down and replacing factorials with the Gamma function, then replacing (p + q) choose p with Β(p, q) yields Euler's equation for the Beta function.
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元となった例文
Considering
the
equation
of
the
binomial
coefficient
n
choose
k
described
in
terms
of
the
factorial,
replacing
n
with
p
+
q
and
k
with
p,
turning
the
RHS
upside-down
and
replacing
factorials
with
the
Gamma
function,
then
replacing
(p
+
q)
choose
p
with
Β(p,
q)
yields
Euler's
equation
for
the
Beta
function.