Abel's binomial theorem

Abel's binomial theorem, named after Niels Henrik Abel, states the following

$\sum _{y=0}^{m}{\binom {m}{y}}(w+m-y)^{m-y-1}(z+y)^{y}=w^{-1}(z+w+m)^{m}.$

See also

• Binomial theorem
• Binomial type

References

• Weisstein, Eric W. "Abel's binomial theorem". MathWorld.