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Formula:8474

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Digital Library of Mathematical Functions ID 26.3.E8

( m n ) = βˆ‘ k = 0 n ( m - n - 1 + k k ) , binomial π‘š 𝑛 superscript subscript π‘˜ 0 𝑛 binomial π‘š 𝑛 1 π‘˜ π‘˜ {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{m}{n}=\sum_{k=0}^{n}% \genfrac{(}{)}{0.0pt}{}{m-n-1+k}{k},}}


Constraint(s)

m β‰₯ n β‰₯ 0 π‘š 𝑛 0 {\displaystyle{\displaystyle m\geq n\geq 0}}

Symbols List

  • ( m n ) binomial π‘š 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • k π‘˜ {\displaystyle{\displaystyle k}} : nonnegative integer
  • m π‘š {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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