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Binomial




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Binomial[n,k] > Identities > Identities involving determinants





http://functions.wolfram.com/06.03.17.0008.01









  


  








Input Form





Det[Table[1/(k! Binomial[a k + l + x, a k - l + y]), {k, 0, n}, {l, 0, n}]] == (-a)^Binomial[n + 1, 2] Product[((2 k + x - y)! (a k - n + y)! Product[(k + l - 1) a + x + y + 1, {l, 1, k}])/(a k + n + x)!, {k, 0, n}]








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