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Binomial




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/06.03.17.0007.01









  


  








Input Form





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