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variants of this functions
Gamma






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[z] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/06.05.21.0001.01









  


  










Input Form





Integrate[Gamma[a + t] Gamma[b + t] Gamma[c - t] Gamma[d - t], {t, \[Gamma] - I Infinity, \[Gamma] + I Infinity}] == 2 Pi I ((Gamma[a + c] Gamma[a + d] Gamma[b + c] Gamma[b + d])/ Gamma[a + b + c + d]) /; -Min[Re[a], Re[b]] < \[Gamma] < Min[Re[c], Re[d]]










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





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