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falling factorial
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Statements
subclass of
polynomial
0 references
defining formula
a
k
_
=
{
a
⋅
(
a
−
1
)
⋅
…
⋅
(
a
−
k
+
1
)
k
>
0
1
k
=
0
{\displaystyle a^{\underline {k}}={\begin{cases}a\cdot (a-1)\cdot \ldots \cdot (a-k+1)&k>0\\1&k=0\end{cases}}}
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n
k
_
=
n
!
(
n
−
k
)
!
{\displaystyle n^{\underline {k}}={\frac {n!}{(n-k)!}}}
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in defining formula
a
k
_
{\displaystyle a^{\underline {k}}}
symbol represents
falling factorial
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a
{\displaystyle a}
symbol represents
complex number
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n
k
_
{\displaystyle n^{\underline {k}}}
symbol represents
falling factorial
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n
{\displaystyle n}
symbol represents
natural number
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described by source
ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
section, verse, paragraph, or clause
2-11.2
subject named as
falling factorial
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maintained by WikiProject
WikiProject Mathematics
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opposite of
Pochhammer symbol
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Identifiers
MathWorld ID
FallingFactorial
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nLab ID
falling factorial
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enwiki
Falling factorial
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