The series which arises in the binomial theorem for negative integer ,
(1)
| |||
(2)
|
for .
For , the negative binomial series simplifies to
(3)
|
The series which arises in the binomial theorem for negative integer ,
(1)
| |||
(2)
|
for .
For , the negative binomial series simplifies to
(3)
|
Weisstein, Eric W. "Negative Binomial Series." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NegativeBinomialSeries.html