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SinhIntegral






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/06.39.21.0076.01









  


  










Input Form





Integrate[(t^(\[Alpha] - 1) SinhIntegral[t])/E^(z t), {t, 0, Infinity}] == z^(-1 - \[Alpha]) Gamma[1 + \[Alpha]] HypergeometricPFQ[ {1/2, (1 + \[Alpha])/2, 1 + \[Alpha]/2}, {3/2, 3/2}, 1/z^2] /; Re[z] > 1 && Re[\[Alpha]] > -1










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