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Binomial




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Binomial[n,k] > Summation > Infinite summation





http://functions.wolfram.com/06.03.23.0008.01









  


  








Input Form





Sum[Binomial[n, k] Binomial[m - k, j] (-1)^k, {k, 0, Infinity}] == Binomial[m - n, m - j] Sin[j Pi] Sin[(m - n) Pi] Csc[m Pi] Csc[(j - n) Pi] /; Element[j, Integers] && Element[m, Integers] && Element[n, Integers] && j >= 0 && n >= 0 && m >= 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29