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variants of this functions
BetaRegularized




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > BetaRegularized[z,a,b] > Integral transforms > Fourier sin transforms





http://functions.wolfram.com/06.21.22.0002.01









  


  








Input Form





FourierSinTransform[BetaRegularized[t, a, b], t, x] == (-((2^(-3/2 - b) Sin[Pi b] Gamma[a + b])/(E^(I a Pi) (Pi^2 Gamma[a])))) MeijerG[{{(1 - a)/2, -(a/2)}, {}}, {{-(1/2), -((a + b)/2), (1 - a - b)/2}, {0}}, x^2/4] Sign[x] /; Element[x, \[DoubleStruckCapitalR]] && Re[a] > -2








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