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Heine's identity
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Mathematics
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Algebra
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1970-01-01
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Heine's identity
is
a
mathematical identity related to sums of
binomial coefficients
. It is typically stated in the following form: \[ \sum_{
k
=
0
}^
n
\binom{
r
}{
k
} \binom{
s
}{
n
-
k
} = \binom{r+s}{
n
} \] for non-negative
integers
\(
r \)
, \(
s \)
, and \(
n \)
.
Ancestors
(5)
Mathematical identities
Algebra
Fields of mathematics
Mathematics
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